1
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                    FORM 10-Q

[X]             QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

                  FOR THE QUARTERLY PERIOD ENDED MARCH 31, 1999

                                       OR

[ ]              TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d)
                        OF THE SECURITIES EXCHANGE ACT OF
            1934 FOR THE TRANSITION PERIOD FROM _______ TO _______ .

                         Commission File Number 0-19279


                         EVERFLOW EASTERN PARTNERS, L.P.
             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)

                 Delaware                                   34-1659910
     ---------------------------------               -------------------------
      (State or other jurisdiction of                    (I.R.S. Employer
      incorporation or organization)                    Identification No.)

           585 West Main Street
               P.O. Box 629
              Canfield, Ohio                                   44406
- -----------------------------------------                ----------------
 (Address of principal executive offices)                   (Zip Code)

        Registrant's telephone number, including area code: (330)533-2692



         Indicate by check mark whether the registrant (1) has filed all reports
required to be filed by Section 13 or 15(d) of the Securities Exchange Act of
1934 during the preceding 12 months (or for such shorter period that the
registrant was required to file such reports), and (2) has been subject to such
filing requirements for the past 90 days. Yes X   No
                                             ---    ---

         There were 6,172,537 Units of limited partnership interest of the
Registrant as of May 12, 1999. The Units generally do not have any voting
rights, but, in certain circumstances, the Units are entitled to one vote per
Unit.

         Except as otherwise indicated, the information contained in this Report
is as of March 31, 1999.


   2


                         EVERFLOW EASTERN PARTNERS, L.P.


                                      INDEX



                      DESCRIPTION                                                                     PAGE NO.
                      -----------                                                                     --------
                                                                                             
Part I.       Financial Information

              Item 1.      Financial Statements

                           Consolidated Balance Sheets
                                 March 31, 1999 and December 31, 1998                                    F-1

                           Consolidated Statements of Income
                                 Three Months Ended March 31, 1999 and 1998                              F-3

                           Consolidated Statements of Partners' Equity
                                 Three Months Ended March 31, 1999 and 1998                              F-4

                           Consolidated Statements of Cash Flows
                                 Three Months Ended March 31, 1999 and 1998                              F-5

                           Notes to Unaudited Consolidated Financial Statements                          F-6

              Item 2.      Management's Discussion and Analysis of Financial
                                 Condition and Results of Operations                                       3


Part II.      Other Information

              Item 6.      Exhibits and Reports on Form 8-K                                                6

                           Signature                                                                       7




                                       2
   3

                        EVERFLOW EASTERN PARTNERS, L.P.

                           CONSOLIDATED BALANCE SHEETS

                      March 31, 1999 and December 31, 1998
                      ------------------------------------





                                                     March 31,         December 31,
                                                       1999                1998
                                                    (Unaudited)          (Audited)
                                                    -----------          ---------
                                                                          
           ASSETS
           ------

CURRENT ASSETS
   Cash and equivalents                           $     461,548       $     294,518
   Accounts receivable:
     Production                                       2,027,147           2,323,510
     Officers and employees                             853,337           1,015,458
     Joint venture partners                             167,086             366,121
   Short-term investments                             2,250,148           2,221,056
   Other                                                126,036              92,355
                                                  -------------       -------------
     Total current assets                             5,885,302           6,313,018

PROPERTY AND EQUIPMENT
   Proved properties (successful efforts
     accounting method)                             111,873,392         110,178,841
   Pipeline and support equipment                       530,538             506,153
   Corporate and other                                1,273,902           1,212,857
                                                  -------------       -------------
                                                    113,677,832         111,897,851

   Less accumulated depreciation, depletion,
     amortization and write down                    (63,152,557)        (61,651,637)
                                                  -------------       -------------
                                                     50,525,275          50,246,214

OTHER ASSETS                                             53,047              53,721
                                                  -------------       -------------

                                                  $  56,463,624       $  56,612,953
                                                  =============       =============


           See notes to unaudited consolidated financial statements.


                                      F-1
   4
                        EVERFLOW EASTERN PARTNERS, L.P.

                           CONSOLIDATED BALANCE SHEETS

                      March 31, 1999 and December 31, 1998
                      ------------------------------------


                                                     March 31,      December 31,
                                                       1999             1998
                                                   (Unaudited)       (Audited)
                                                   -----------       ---------
                                                                    
LIABILITIES AND PARTNERS' EQUITY
- --------------------------------

CURRENT LIABILITIES
   Current portion of long-term debt               $   133,366      $    30,805
   Revolving credit facility                         1,600,000        1,800,000
   Accounts payable                                  1,307,206        1,666,792
   Accrued expenses                                     43,950          391,187
                                                   -----------      -----------
       Total current liabilities                     3,084,522        3,888,784

LONG-TERM DEBT, NET OF CURRENT PORTION                 416,352          425,093

DEFERRED INCOME TAXES                                  128,000          128,000

COMMITMENTS AND CONTINGENCIES                             --               --

LIMITED PARTNERS' EQUITY, SUBJECT TO
   REPURCHASE RIGHT
     Authorized - 8,000,000 Units
     Issued and outstanding - 6,172,537 Units       52,266,592       51,610,054

GENERAL PARTNER'S EQUITY                               568,158          561,022
                                                   -----------      -----------
       Total partners' equity                       52,834,750       52,171,076
                                                   -----------      -----------

                                                   $56,463,624      $56,612,953
                                                   ===========      ===========


           See notes to unaudited consolidated financial statements.


                                      F-2
   5
                         EVERFLOW EASTERN PARTNERS, L.P.

                        CONSOLIDATED STATEMENTS OF INCOME

                   Three Months Ended March 31, 1999 and 1998
                   ------------------------------------------
                                   (Unaudited)


                                                    1999               1998
                                                    ----              ----
                                                                   
REVENUES
   Oil and gas sales                             $ 4,085,041       $ 4,968,779
   Well management and operating                     134,224           136,844
Other                                                    904             1,091
                                                 -----------       -----------
                                                   4,220,169         5,106,714

DIRECT COST OF REVENUES
   Production costs                                  592,797           564,383
   Well management and operating                      71,188            64,526
   Depreciation, depletion and amortization        1,485,808         1,695,466
   Abandonment and write down of
     oil and gas properties                           25,000              --
                                                 -----------       -----------
       Total direct cost of revenues               2,174,793         2,324,375

GENERAL AND ADMINISTRATIVE EXPENSE                   591,596           450,377
                                                 -----------       -----------
       Total cost of revenues                      2,766,389         2,774,752
                                                 -----------       -----------

INCOME FROM OPERATIONS                             1,453,780         2,331,962

OTHER INCOME (EXPENSE)
   Interest income                                    36,317            12,650
   Interest expense                                  (46,469)          (71,733)
                                                 -----------       -----------
                                                     (10,152)          (59,083)
                                                 -----------       -----------

INCOME BEFORE INCOME TAXES                         1,443,628         2,272,879

PROVISION FOR INCOME TAXES
   Current                                              --                --
                                                 -----------       -----------
   Deferred                                             --                --
                                                 -----------       -----------

NET INCOME                                       $ 1,443,628       $ 2,272,879
                                                 ===========       ===========

Allocation of Partnership Net Income
     Limited Partners                              1,428,104         2,248,559
     General Partner                                  15,524            24,320
                                                 -----------       -----------
                                                 $ 1,443,628       $ 2,272,879
                                                 ===========       ===========

Earnings per unit                                $       .23       $       .36
                                                 ===========       ===========


           See notes to unaudited consolidated financial statements.


                                      F-3
   6
                        EVERFLOW EASTERN PARTNERS, L.P.

                   CONSOLIDATED STATEMENTS OF PARTNERS' EQUITY

                   Three Months Ended March 31, 1999 and 1998
                   ------------------------------------------
                                   (Unaudited)





                                                1999                1998
                                                ----                ----
                                                                 
PARTNERS' EQUITY - JANUARY 1                $ 52,171,076       $ 48,577,802

   Net income                                  1,443,628          2,272,879

   Cash distributions ($.125 per Unit)          (779,954)          (784,344)
                                            ------------       ------------

PARTNERS' EQUITY - MARCH 31                 $ 52,834,750       $ 50,066,337
                                            ============       ============


           See notes to unaudited consolidated financial statements.


                                      F-4
   7

                        EVERFLOW EASTERN PARTNERS, L.P.

                      CONSOLIDATED STATEMENTS OF CASH FLOWS
                   Three Months Ended March 31, 1999 and 1998
                   ------------------------------------------
                                   (Unaudited)


                                                                                        1999              1998
                                                                                        ----              ----
                                                                                                      
CASH FLOWS FROM OPERATING ACTIVITIES
   Net income                                                                       $ 1,443,628       $ 2,272,879
   Adjustments to reconcile net income to net cash
     provided by operating activities:
       Depreciation, depletion and amortization                                       1,500,920         1,709,209
       Abandonment and write down of
         oil and gas properties                                                          25,000
       Changes in assets and liabilities:
         Accounts receivable                                                            495,398           321,827
         Short-term investments                                                         (29,092)             --
         Other current assets                                                           (33,681)          (31,080)
         Other assets                                                                       674          (155,576)
         Accounts payable                                                              (359,586)          (38,284)
         Accrued expenses                                                              (347,237)          (18,173)
                                                                                    -----------       -----------
           Total adjustments                                                          1,252,396         1,787,923
                                                                                    -----------       -----------
              Net cash provided by operating activities                               2,696,024         4,060,802

CASH FLOWS FROM INVESTING ACTIVITIES
   Proceeds received on receivables from officers and
     employees                                                                          212,554           160,277
   Advances disbursed to officers and employees                                         (50,433)          (79,583)
   Purchase of property and equipment                                                (1,804,981)         (769,351)
                                                                                    -----------       -----------
              Net cash used by investing activities                                  (1,642,860)         (688,657)

CASH FLOWS FROM FINANCING ACTIVITIES
   Distributions                                                                       (779,954)         (784,344)
   Proceeds from issuance of debt, including
     revolver activity                                                                1,000,000              --
   Payments on debt, including revolver activity                                     (1,106,180)       (3,109,365)
                                                                                    -----------       -----------
              Net cash used by financing activities                                    (886,134)       (3,893,709)
                                                                                    -----------       -----------

NET INCREASE (DECREASE) IN CASH AND
   EQUIVALENTS                                                                          167,030          (521,564)

CASH AND EQUIVALENTS AT BEGINNING
   OF YEAR                                                                              294,518           679,531
                                                                                    -----------       -----------

CASH AND EQUIVALENTS AT END OF
   FIRST QUARTER                                                                    $   461,548       $   157,967
                                                                                    ===========       ===========

Supplemental disclosures of cash flow information:
   Cash paid during the period for:
     Interest                                                                       $    35,540       $    83,943
     Income taxes                                                                          --                --


           See notes to unaudited consolidated financial statements.


                                      F-5
   8

                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS



Note 1.           Organization and Summary of Significant Accounting Policies

                  A.       Interim Financial Statements - The interim
                           consolidated financial statements included herein
                           have been prepared by the management of Everflow
                           Eastern Partners, L.P., without audit. In the opinion
                           of management, all adjustments (which include only
                           normal recurring adjustments) necessary to present
                           fairly the financial position and results of
                           operations have been made.

                           Information and footnote disclosures normally
                           included in financial statements prepared in
                           accordance with generally accepted accounting
                           principles have been condensed or omitted. It is
                           suggested that these financial statements be read in
                           conjunction with the financial statements and notes
                           thereto which are incorporated in Everflow Eastern
                           Partners, L.P.'s report on Form 10-K filed with the
                           Securities and Exchange Commission on March 31, 1999.

                           The results of operations for the interim periods may
                           not necessarily be indicative of the results to be
                           expected for the full year.

                  B.       Organization - Everflow Eastern Partners, L.P.
                           ("Everflow") is a Delaware limited partnership which
                           was organized in September 1990 to engage in the
                           business of oil and gas exploration and development.
                           Everflow was formed to consolidate the business and
                           oil and gas properties of Everflow Eastern, Inc.
                           ("EEI") and Subsidiaries and the oil and gas
                           properties owned by certain limited partnership and
                           working interest programs managed or sponsored by EEI
                           ("EEI Programs" or "the Programs").

                           Everflow Management Limited, LLC, an Ohio limited
                           liability company, is the general partner of
                           Everflow. Everflow Management Limited, LLC is
                           authorized, in general, to perform all acts necessary
                           or desirable to carry out the purposes and conduct of
                           the business of Everflow. The members of Everflow
                           Management Limited, LLC are Everflow Management
                           Corporation ("EMC"), three individuals who are
                           Officers and Directors of EEI, and Sykes Associates,
                           a limited partnership controlled by Robert F. Sykes,
                           the Chairman of the Board of EEI. EMC is an Ohio
                           corporation formed in September 1990 and is the
                           managing member of Everflow Management Limited, LLC.


                                      F-6
   9
                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS

                                  (CONTINUED)

Note 1.           Organization and Summary of Significant Accounting Policies 
                  (Continued)

                  C.       Principles of Consolidation - The consolidated
                           financial statements include the accounts of
                           Everflow, EEI and EEI's wholly owned subsidiaries,
                           and investments in oil and gas drilling and income
                           partnerships (collectively, "the Company") which are
                           accounted for under the proportional consolidation
                           method. All significant accounts and transactions
                           between the consolidated entities have been
                           eliminated.

                  D.       Allocation of Income and Per Unit Data - Under the
                           terms of the limited partnership agreement,
                           initially, 99% of revenues and costs were allocated
                           to the Unitholders (the limited partners) and 1% of
                           revenues and costs were allocated to the General
                           Partner. Such allocation has changed and will change
                           in the future due to Unitholders electing to exercise
                           the Repurchase Right (see Note 4).

                           Earnings per limited partner Unit have been computed
                           based on the weighted average number of Units
                           outstanding, during the period for each period
                           presented. Average outstanding Units for earnings per
                           Unit calculations amounted to 6,172,537 and 6,207,651
                           for the three months ended March 31, 1999 and 1998,
                           respectively.

                  E.       New Accounting Standards - In June 1997, SFAS 130, 
                           "Reporting Comprehensive Income," was issued. SFAS
                           130 established new standards for reporting
                           comprehensive income and its components and is
                           effective for fiscal years beginning after December
                           15, 1997. In June 1997, the Financial Accounting
                           Standards Board issued SFAS 131, "Disclosure About
                           Segments of an Enterprise and Related Information."
                           SFAS 131 changes the standards for reporting
                           financial results by operating segments, related
                           products and services, geographical areas and major
                           customers and is adoptable by December 31, 1998. In
                           February 1998, SFAS 132, "Employers' Disclosures
                           About Pensions and Other Postretirement Benefits,"
                           was issued. SFAS 132 standardizes the disclosure
                           requirements for pension and other postretirement
                           benefit plans but does not change the measurement or
                           recognition of those plans. SFAS 132 is effective for
                           fiscal years beginning after December 15, 1997. In
                           June 1998, SFAS 133, "Accounting for Derivative
                           Instruments and Hedging Activities," was issued. SFAS
                           133 establishes accounting and reporting standards
                           for derivative instruments and hedging activities.
                           SFAS 133 is



                                      F-7
   10

                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS

                                  (CONTINUED)

Note 1.           Organization and Summary of Significant Accounting Policies 
                  (Continued)

                  E.       New Accounting Standards (Continued)

                           effective for fiscal years beginning after June 15,
                           1999. The effect of adoption or anticipated adoption
                           of the above standards had no, or is expected to have
                           no, material effect on the Company's financial
                           statements.

                  F.       Year 2000 - The Year 2000 problem, software, hardware
                           or an embedded chip that does not correctly process
                           date information for years after 1999, results from
                           the practice of storing date information with only
                           the last two digits of the year. The Company began to
                           address Year 2000 issues in 1997. The scope of the
                           Year 2000 readiness effort includes the Company's
                           internal information technology ("IT") systems, such
                           as hardware and software; non-IT systems with
                           date-sensitive characteristics; the status of key
                           third parties, including suppliers, service providers
                           and customers. The Company's major IT applications
                           are currently Year 2000 ready. Remediation and
                           testing of the balance of the IT systems are expected
                           to be completed by fall 1999. The Company is in the
                           early stages of analyzing the readiness of non-IT
                           systems and anticipates that remediation and testing
                           of any noncompliant systems will be completed by
                           October 1999. The Company also has taken initial
                           steps to determine the compliance of key third
                           parties and expects that it will have received and
                           reviewed responses from the majority of such parties
                           by October 1999. Although the Company expects to meet
                           the target dates for completion of remediation and
                           testing and for determining the status of key third
                           parties, the Company will attempt to develop
                           contingency plans should the programs not be
                           completed when anticipated or should the third
                           parties not be ready on a timely basis.

                           Costs of addressing the Year 2000 issue to date
                           approximate $50,000. It is anticipated that an
                           additional $100,000 will be incurred. Substantially
                           all of these outlays are expected to result from
                           remediation of existing systems as opposed to
                           replacing existing systems. Costs are being funded
                           from operating cash flows. The actual costs of the
                           Company's Year 2000 efforts may vary from current
                           estimates, which are based on information available
                           at this time.



                                      F-8
   11
                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS

                                  (CONTINUED)

Note 1.           Organization and Summary of Significant Accounting Policies 
                  (Continued)

                  F.       Year 2000 (Continued)

                           Although the Company believes that it is taking
                           appropriate precautions against disruption of its
                           systems due to the Year 2000 issue, there can be no
                           assurance that the Company will identify all Year
                           2000 problems in advance of their occurrence(s) or
                           that the Company will be able to successfully remedy
                           all problems that are discovered. Furthermore, there
                           can be no assurance that the Company's third party
                           relationships will not be adversely affected by Year
                           2000 issues. The Company is in the process of
                           developing contingency plans to address the potential
                           effects of problems arising from Year 2000
                           noncompliance. While the Company does not anticipate
                           that costs of Year 2000 disruptions will have a
                           material adverse effect, Year 2000 disruptions,
                           arising either from within the Company or through
                           third party relationships, could have a material
                           adverse effect on the Company's business, operating
                           results and financial condition.

Note 2.           Short-Term Investments

                  Short-term investments consist of marketable corporate debt
                  securities which are classified as trading. The fair values of
                  the investments approximate cost.

Note 3.           Credit Facilities and Long-Term Debt

                  In May 1998, the Company entered into an agreement that
                  replaced its prior credit agreements. The agreement provides
                  for a revolving line of credit in the amount of $7,000,000,
                  all of which is available. The revolving line of credit
                  provides for interest payable quarterly at LIBOR plus 175
                  basis points with the principal due at maturity (as renewed),
                  May 31, 1999. The Company anticipates renewing the facility on
                  a yearly basis to minimize debt origination, carrying and
                  interest costs associated with long-term bank commitments.
                  Borrowings under the facility are unsecured; however, the
                  Company has agreed, if requested by the bank, to execute any
                  supplements to the agreement including security and mortgage
                  agreements on the Company's assets. The agreement contains
                  restrictive covenants requiring the Company to maintain the
                  following: (i) loan balance not to exceed the borrowing base
                  of $7,000,000; (ii) tangible net worth of at least
                  $40,000,000; and (iii) a total debt to tangible net worth
                  ratio of not more than 0.5 to 1.0. In addition, there



                                      F-9
   12
                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS

                                  (CONTINUED)

Note 3.           Credit Facilities and Long-Term Debt (Continued)

                  are restrictions on mergers, sales and acquisitions, the
                  incurrence of additional debt and the pledge or mortgage of
                  the Company's assets.

                  The Company purchased a building and funded its cost,
                  including improvements, in part, through mortgage notes. Two
                  of the notes, which have an aggregate balance of $358,783 and
                  $363,053 at March 31, 1999 and December 31, 1998,
                  respectively, bear interest at 6.51% per annum until October
                  6, 2001 and then a variable rate of .5% above prime or the
                  three year constant treasury maturity index plus 2.25% until
                  maturity. A third note, which has a balance of $90,935 and
                  $92,845 at March 31, 1999 and December 31, 1998, respectively,
                  bears interest at 8.41% per annum until June 25, 2000 and then
                  a variable rate of .5% above prime or the three year constant
                  treasury maturity index plus 2.25% until maturity. The three
                  notes require aggregate payments of principal and interest of
                  approximately $5,300 per month. A fourth note, which has a
                  balance of $100,000 at March 31, 1999, bears interest at 7.75%
                  per annum. This note has not yet been termed out and currently
                  is an interest only note.

Note 4.           Partners' Equity

                  Units represent limited partnership interests in Everflow. The
                  Units are transferable subject only to the approval of any
                  transfer by Everflow Management Limited, LLC and to the laws
                  governing the transfer of securities. The Units are not listed
                  for trading on any securities exchange nor are they quoted in
                  the automated quotation system of a registered securities
                  association. However, Unitholders have an opportunity to
                  require Everflow to repurchase their Units pursuant to the
                  Repurchase Right.

                  Under the terms of the limited partnership agreement,
                  initially, 99% of revenues and costs are allocated to the
                  Unitholders (the limited partners) and 1% of revenues and
                  costs are allocated to the General Partner. Such allocation
                  has changed and will change in the future due to Unitholders
                  electing to exercise the Repurchase Right.

                  The partnership agreement provides that Everflow will
                  repurchase for cash up to 10% of the then outstanding Units,
                  to the extent Unitholders offer Units to Everflow for
                  repurchase pursuant to the Repurchase Right. The Repurchase
                  Right entitles any Unitholder, between May 1, and June 30 of
                  each year, to notify Everflow that he elects to exercise the
                  Repurchase Right and have


                                      F-10
   13


                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS

                                  (CONTINUED)

Note 4.           Partners' Equity (Continued)

                  Everflow acquire certain or all of his Units. The price to be
                  paid for any such Units will be calculated based upon the
                  audited financial statements of the Company as of December 31
                  of the year prior to the year in which the Repurchase Right is
                  to be effective and independently prepared reserve reports.
                  The price per Unit will be equal to 66% of the adjusted book
                  value of the Company allocable to the Units, divided by the
                  number of Units outstanding at the beginning of the year in
                  which the applicable Repurchase Right is to be effective less
                  all Interim Cash Distributions received by a Unitholder. The
                  adjusted book value is calculated by adding partners' equity,
                  the Standardized Measure of Discounted Future Net Cash Flows
                  and the tax effect included in the Standardized Measure and
                  subtracting from that sum the carrying value of oil and gas
                  properties (net of undeveloped lease costs). If more than 10%
                  of the then outstanding Units are tendered during any period
                  during which the Repurchase Right is to be effective, the
                  Investors' Units so tendered shall be prorated for purposes of
                  calculating the actual number of Units to be acquired during
                  any such period. The price associated with the Repurchase
                  Right, based upon the December 31, 1998 calculation, is $5.79
                  per Unit, net of the distributions ($.375 per Unit in total)
                  made in January and April 1999.

                  Units repurchased pursuant to the Repurchase Right for each of
                  the four years in the period ended December 31, 1998 are as
                  follows:



                             Calculated                                                               Units
                             Price for                     Less                         # of       Outstanding
                             Repurchase   Premium        Interim          Net          Units        Following
                     Year      Right      Offered     Distributions   Price Paid    Repurchased     Repurchase
                     ----    ----------   -------     -------------   ----------    -----------     ----------
                                                                                    
                     1995       $4.72       $.28           $.375         $4.625         81,522       6,433,044
                     1996       $4.48       $.27           $.250         $4.500         53,103       6,379,941
                     1997       $5.46       $ -            $.250         $5.210        172,290       6,207,651
                     1998       $5.24       $ -            $.250         $4.990         35,114       6,172,537


Note 5.           Commitments and Contingencies

                  Everflow paid a quarterly dividend in April 1999 of $.25 per
                  Unit to Unitholders of record on March 31, 1999. The
                  distribution amounted to approximately $1,560,000.



                                      F-11
   14
                        EVERFLOW EASTERN PARTNERS, L.P.
              NOTES TO UNAUDITED CONSOLIDATED FINANCIAL STATEMENTS

                                  (CONTINUED)

Note 5.  Commitments and Contingencies (Continued)

                  EEI is the general partner in certain oil and gas
                  partnerships. As general partner, EEI shares in unlimited
                  liability to third parties with respect to the operations of
                  the partnerships and may be liable to limited partners for
                  losses attributable to breach of fiduciary obligations.

                  The Company operates exclusively in the United States, almost
                  entirely in Ohio and Pennsylvania, in the exploration,
                  development and production of oil and gas.

                  The Company operates in an environment with many financial
                  risks, including, but not limited to, the ability to acquire
                  additional economically recoverable oil and gas reserves, the
                  inherent risks of the search for, development of and
                  production of oil and gas, the ability to sell oil and gas at
                  prices which will provide attractive rates of return, and the
                  highly competitive nature of the industry and worldwide
                  economic conditions. The Company's ability to expand its
                  reserve base and diversify its operations is also dependent
                  upon the Company's ability to obtain the necessary capital
                  through operating cash flow, additional borrowings or
                  additional equity funds. Various federal, state and
                  governmental agencies are considering, and some have adopted,
                  laws and regulations regarding environmental protection which
                  could adversely affect the proposed business activities of the
                  Company. The Company cannot predict what effect, if any,
                  current and future regulations may have on the operations of
                  the Company.



                                      F-12
   15


                          Part I: Financial Information


Item 2. MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
        OF OPERATIONS


LIQUIDITY AND CAPITAL RESOURCES

         The following table summarizes the Company's financial position at
March 31, 1999 and December 31, 1998:



                                      March 31, 1999          December 31, 1998
                                  --------------------       -------------------
         (Amounts in Thousands)    Amount        %            Amount         %
                                   ------       ---           ------        ---
                                                             
Working capital                   $ 2,801            5%      $ 2,424            5%
Property and equipment (net)       50,525           95        50,246           95
Other                                  53         --              54         --
                                  -------      -------       -------      -------
    Total                         $53,379          100%      $52,724          100%
                                  =======      =======       =======      =======

Long-term debt                    $   416            1%          425            1%
Deferred income taxes                 128         --             128         --
Partners' equity                   52,835           99        52,171           99
                                  -------      -------       -------      -------
    Total                         $53,379          100%      $52,724          100%
                                  =======      =======       =======      =======


         Working capital surplus of $2,801 thousand as of March 31, 1999
represented an increase of $377 thousand from December 31, 1998 due to
reductions in accounts payable, accrued expenses and payments on the Company's
revolving credit facility. These reductions were partially offset by a reduction
in accounts receivable and an increase in cash.

         In May 1998, the Company modified its revolving credit facility. The
facility provides for a revolving line of credit in the amount of $7.0 million,
all of which is available. The revolving line of credit provides for interest
payable quarterly at LIBOR plus 175 basis points with principal due at maturity,
May 31, 1999. The Company anticipates renewing the facility on a yearly basis to
minimize debt origination, carrying and interest costs associated with long-term
bank commitments. Management of the Company believes this revolving credit
facility is sufficient to allow the Company to continue to fund the development
of oil and gas properties, repurchase Units pursuant to the Repurchase Right and
make quarterly Cash Distributions.

         The Company's cash flow from operations before the change in working
capital decreased $1.0 million, or 25%, during the three months ended March 31,
1999 as compared to the same period in 1998. Changes in working capital other
than cash and cash equivalents decreased cash by $274 thousand during the three
months ended March 31, 1999. The 



                                       3
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reductions in accounts payable of $360 thousand and accrued expenses of $347
thousand at March 31, 1999 compared to December 31, 1998 are primarily the
result of lower production payables and accrued payroll expenses at March 31,
1999.

         Cash flows provided by operating activities was $2.7 million for the
three months ended March 31, 1999. Cash was primarily used to purchase property
and equipment and pay a quarterly distribution.

         Additional borrowings for operations may be required during the summer
months due to the seasonal nature of the gas purchase agreements with The East
Ohio Gas Company entered into beginning in 1991. Seasonal price reductions and
production restrictions during the summer months reduce operating revenues and
consequently cash flows from operations during such periods.

         In the fall of 1998, the Company received a decrease in the price
received for natural gas pursuant to the pricing adjustments contained in the
Company's Intermediate Term Adjustable Price Gas Purchase Agreements with The
East Ohio Gas Company. The Company anticipates these pricing adjustments should
decrease cash flows from operations during 1999.

         Recently, management of the Company has explored the possible sale of
the Company. Although management may, from time to time, continue to engage in
discussions concerning a potential sale, management does not intend to pursue
actively a sale of the Company at the present time. Management will continue to
evaluate other alternatives in attempting to maximize Unitholder value.


                                       4
   17


RESULTS OF OPERATIONS

         The following table and discussion is a review of the results of
operations of the Company for the three months ended March 31, 1999 and 1998.
All items in the table are calculated as a percentage of total revenues. This
table should be read in conjunction with the discussions of each item below:



                                                                                 Three Months
                                                                                Ended March 31,
                                                                           -----------------------
                                                                            1999              1998                               
                                                                            ----              ----
                                                                                     
         Revenues:
              Oil and gas sales                                               97%              97%
              Well management and operating                                    3                3
                                                                           -----             ----
                  Total Revenues                                             100              100
         Expenses:
              Production costs                                                14               11
              Well management and operating                                    2                1
              Depreciation, depletion and amortization                        35               33
              Abandonment and write down of
                  oil and gas properties                                       1                -
              General and administrative                                      14                9
              Other                                                            -                1
                                                                           -----             ----
                  Total Expenses                                              66               55
                                                                           -----             ----
         Earnings                                                             34%              45%
                                                                           =====             ====


         Revenues for the three months ended March 31, 1999 decreased $887
thousand, or 17%, compared to the same period in 1998. This decrease was due to
a decrease in oil and gas sales during the first three months of 1999, as
compared to the same period in 1998.

         Oil and gas sales decreased $884 thousand, or 18%, during the three
months ended March 31, 1999 compared to the same period in 1998. Lower
production volumes and gas prices during the first quarter of 1999, due to a
$.19 pricing adjustment received in the Company's Intermediate Term Adjustable
Price Gas Purchase Agreements with The East Ohio Gas Company, were responsible
for this decrease compared to this same period in 1998.

         Production costs increased $28 thousand, or 5%, during the three months
ended March 31, 1999 compared to the same period in 1998. Additional producing
properties and increased costs were responsible for this increase between 1998
and 1999.

         Depreciation, depletion and amortization decreased $210 thousand, or
12%, during the three months ended March 31, 1999 compared to the same period in
1998. The decrease 


                                       5
   18

in depreciation, depletion and amortization is the result of decreased
production from producing oil and gas properties.

         General and administrative expenses increased $141 thousand, or 31%,
during the first quarter of 1999 compared to the first quarter of 1998. This
increase was the result of higher professional fees and associated costs
involved with exploring the possible sale of the Company during the first
quarter of 1999.

         The Company reported net income of $1.4 million, a decrease of $829
thousand, or 36%, during the three months ended March 31, 1999 compared to the
same period in 1998. The decrease in oil and gas sales was primarily responsible
for this decrease in net income. Net income represented 34% and 45% of total
revenue during the three months ended March 31, 1999 and 1998, respectively.

         Except for historical financial information contained in this Form
10-Q, the statements made in this report are forward-looking statements. Factors
that may cause actual results to differ materially from those in the forward
looking statement include price adjustments pursuant to the Company's
Intermediate Term Adjustable Price Gas Purchase Agreements with The East Ohio
Gas Company, price fluctuations in the gas market in the Appalachian Basin, the
weather in the Northeast Ohio area, the number of Units tendered pursuant to the
Repurchase Right and the ability to locate economically productive oil and gas
prospects for development by the Company.



                           Part II. Other Information


Item 6.           EXHIBITS AND REPORTS ON FORM 8-K

                  (a)      Exhibits

                           4.15  Articles of Organization of Everflow 
                                 Management Limited, LLC.

                           4.16  Operating Agreement of Everflow Management 
                                 Limited, LLC dated March 8, 1999.

                  (b)      No reports on Form 8-K were filed with the Commission
                           during the Company's first quarter.



                                       6
   19


                                    SIGNATURE



         Pursuant to the requirement of the Securities Exchange Act of 1934, the
Registrant has duly caused this report to be signed on its behalf by the
undersigned thereunto duly authorized.

                             EVERFLOW EASTERN PARTNERS, L.P.

                             By:  EVERFLOW MANAGEMENT LIMITED, LLC
                                  General Partner

                             By:  EVERFLOW MANAGEMENT CORPORATION
                                  Managing Member


May 12, 1999                 By:  /s/William A. Siskovic
                                ------------------------
                                  William A. Siskovic
                                  Vice President and Principal Financial and
                                  Accounting Officer
                                  (Duly Authorized Officer)



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