MAYNARD OIL COMPANY
                              8080 N. Central Expressway
                                      Suite 660
                                 Dallas, Texas 75206

                       NOTICE OF ANNUAL MEETING OF STOCKHOLDERS

                               To be Held May 17, 1995


               The annual meeting of stockholders of MAYNARD OIL COMPANY 
          will be held on Wednesday, May 17, 1995, at 9:30 A.M., Dallas
          Time, at the offices of the Company, 8080 N. Central Expressway,
          Suite 660, Dallas, Texas, for the following purposes:

                    1. To elect three directors to hold office in
               accordance with the Company's Certificate of Incorporation,
               as amended, until the 1996 Annual Meeting of Stockholders,
               or until their successors shall be duly elected.

                    2. To transact such other business as may properly
               come before the meeting or any adjournment thereof.

               The Board of Directors has fixed the close of business on
          April 7, 1995, as the record date for determination of
          stockholders entitled to notice of and to vote at the meeting.

               Please sign, date and return the accompanying Proxy in the
          enclosed envelope which requires no postage if mailed in the
          United States.  All stockholders of the Company are invited to
          attend the meeting in person.

                                        By order of the Board of Directors


                                        Linda K. Burgess
                                        Secretary and Controller

          Dallas, Texas
          April 17, 1995


               YOUR VOTE IS IMPORTANT. TO VOTE YOUR SHARES, PLEASE
          COMPLETE, SIGN AND DATE THE ENCLOSED PROXY CARD AND MAIL IT
          PROMPTLY IN THE ENCLOSED ENVELOPE.













     







                                   PROXY STATEMENT

                                 MAYNARD OIL COMPANY
                            ANNUAL MEETING OF STOCKHOLDERS

                                     May 17, 1995

                                 GENERAL INFORMATION

               This Proxy Statement is furnished to stockholders of Maynard
          Oil Company on or about April 17, 1995, in connection with the
          solicitation of proxies for use at the annual meeting of
          stockholders of the Company to be held on May 17, 1995, at the
          time and place and for the purposes set forth in the accompanying
          Notice of the meeting.

               THE ACCOMPANYING PROXY IS SOLICITED ON BEHALF OF THE BOARD
          OF DIRECTORS OF THE COMPANY AND IS REVOCABLE AT ANY TIME PRIOR TO
          BEING VOTED.  All shares of the Company's Common Stock, par value
          $.10, represented by properly executed and unrevoked proxies will
          be voted, if the proxies are received in time for the meeting. 
          Any Stockholder giving a proxy has the right to revoke it at any
          time before the proxy is exercised by giving notice to the
          Company in writing or in open meeting.

               The Company will bear the cost of solicitation of the
          proxies.  In addition to solicitation by mail, certain directors,
          officers and other employees of the Company, not specifically
          employed for the purpose, may solicit proxies, without additional
          remuneration therefor, by personal interview, mail, telephone or
          telegraph.  The Company may also reimburse brokers or other
          persons holding shares in their name, or in the names of
          nominees, for expenses in sending proxy material to principals
          and obtaining their proxies.

               Each holder of Common Stock of record at the close of
          business on April 7, 1995, is entitled to one vote per share on
          all matters to come before the meeting.  Cumulative voting is not
          permitted under the Company's Certificate of Incorporation and
          By-Laws.  At the close of business on April 7, 1995, there were
          outstanding and entitled to vote at the meeting 4,891,371 shares
          of Common Stock.  A majority of the  outstanding shares must be
          represented at the meeting in person or by proxy in order to have
          a quorum to conduct business at the meeting.














     







               A stockholder may, with respect to the election of
          directors, (i) vote for all nominees named herein, (ii) withhold
          authority to vote for all such nominees or (iii) vote for all
          such nominees other than any nominee with respect to whom the
          stockholder withholds authority to vote.  The nominees receiving
          the highest number of votes cast for the number of positions to
          be filled shall be elected.  Accordingly, withholding authority
          to vote for a director nominee will not prevent him from being
          elected.  On any other matter which may properly come before the
          meeting, the affirmative vote of the holders of a majority of the
          shares represented in person or by proxy at the meeting and
          entitled to vote is required.  Broker non-votes will have no
          effect on any matter at the meeting.
































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                                PRINCIPAL STOCKHOLDERS

               James G. Maynard (whose address is 344 Westmoreland
          Building, Skokie, Illinois, 60077, and whose shareholdings are
          shown below) and Dimensional Fund Advisors, Inc. ("Dimensional"),
          a registered investment advisor, located at 1299 Ocean Avenue,
          11th Floor, Santa Monica, CA 90401, are the only persons known to
          the Company to be the beneficial owners of more than 5% of the
          outstanding Common Stock of the Company.  As set forth in the
          table below, Dimensional is deemed to have beneficial ownership
          of 326,600 shares of Common Stock as of April 7, 1995.  All of
          such shares are held in portfolios of DFA Investment Dimensions
          Group Inc. and the DFA Investment Trust Company, each registered
          open-end investment companies.

               The following table shows with respect to each director and
          nominee for director of the Company, each 5% stockholder, each
          executive officer named in the Summary Compensation Table below,
          and with respect to all directors and executive officers as a
          group: (i) the total number of shares of Common Stock
          beneficially owned as of April 7, 1995, and (ii) the percent of
          the total number of shares of Common Stock outstanding as of that
          date:

                                                                    Percent
                                            Amount and Nature of      of
          Name of Beneficial Owner          Beneficial Ownership(1)  Class
          ________________________          _______________________  _____

          James G. Maynard                       2,756,596(2)        56.36
          Dimensional Fund Advisors, Inc.          326,600            6.68
          Robert B. McDermott                        5,000            0.10
          Ralph E. Graham                            2,200            0.04
          Glenn R. Moore                               250            *
          L. Brent Carruth                             100            *
          Kenneth W. Hatcher                           100            *

          All directors and executive officers 
          as a group (6 persons) (3)             2,784,246           56.69

          *    Less than .01%



                                         -3-












     







          (1)  In accordance with regulations of the Securities and
               Exchange Commission, stock ownership reflects shares with
               respect to which the director, nominee, principal
               stockholder or executive officer has voting power or
               investment power, or has a right to acquire such power. 
               Each director, nominee, principal stockholder or executive
               officer has both sole voting power and sole investment power
               with respect to the shares set forth in the table. 
               Beneficial ownership is disclaimed by each director,
               nominee, principal stockholder or executive officer of
               shares listed of which he or it would not, but for Rule 13d-
               3 under the Securities Exchange Act of 1934, be deemed to be
               the beneficial owner.

          (2)  Includes 300,000 shares held of record by a corporation
               controlled by Mr. Maynard and 2,456,596 shares held of
               record by Mr. Maynard, as trustee of a trust for his
               benefit.

          (3)  Includes 20,000 shares subject to currently exercisable
               stock options.


                                ELECTION OF DIRECTORS

               In accordance with the Company's By-laws three directors are
          to be elected at the annual meeting.  Each director elected will
          hold office until the next annual meeting and until his successor
          is elected and qualifies.  Shares represented by valid proxies
          will be voted for the election of the three nominees listed
          below.

               The nominees have consented to serve on the Board, if
          elected, but should any of the three be unable to serve in this
          capacity at the time of the meeting, the proxies will be voted by
          the proxy holders in their discretion for any substitute nominee
          who may be designated by Management.  It is anticipated that the
          nominees will be available to serve as directors.

          Names of Nominees                Position with Company, Business
             for Election        Age       Experience and other Directorships



                                         -4-












     







          Ralph E. Graham        75    Director of the Company since 1993.
                                       Partner of Day Oil Company, an oil
                                       and gas exploration and drilling
                                       partnership.

          James G. Maynard       69    Chief Executive Officer and Chairman
                                       of the Board of the Company, since
                                       its incorporation in 1971.

          Robert B. McDermott    67    Director of the Company since 1971. 
                                       Of Counsel to the law firm of
                                       McDermott, Will and Emery, since
                                       March 1, 1992 (prior to which he was
                                       a partner in such firm).  Director
                                       of The Cherry Corporation, an
                                       electronics manufacturer.

          Meetings of the Board of Directors and the Committee of the Board
          of Directors

               During the past fiscal year, the Board of Directors met six
          times, the Compensation Committee of the Board, comprised of
          Messrs. Maynard, Graham and McDermott, met twice and the Audit
          Committee, comprised of Messrs. McDermott and Graham, met twice. 
          The Audit Committee recommended, and the Board of Directors
          selected Price Waterhouse to audit the Company's financial
          statements for the year ended December 31, 1994.  The
          Compensation Committee sets the compensation of the officers of
          the Company and the Audit Committee meets with the public
          accountants and accounting personnel of the Company for review of
          their respective information, opinions and functions.  Mr.
          Maynard's compensation was determined by Messrs. McDermott and
          Graham as more fully described in the Compensation Committee
          Report on Executive Compensation.  The Board of Directors does
          not have a nominating committee.  No incumbent director attended
          fewer than 75% of the total number of meetings of the Board of
          Directors and of the committees on which he served.





                                         -5-












     







                                EXECUTIVE COMPENSATION

               The table below sets forth certain information concerning
          the annual and long-term compensation for services in all
          capacities to the Company for the fiscal years ended December 31,
          1994, 1993 and 1992, of those persons who were, at December 31,
          1994 (i) the chief executive officer, and (ii) the other three
          executive officers of the Company with compensation in excess of
          $100,000.


                              SUMMARY COMPENSATION TABLE


                                                          Long-Term
                                                        Compensation
                                                        ------------
                               Annual Compensation(1)       Stock      All Other
     Name and Principal      Fiscal                     Participation   Compen-
           Position           Year  Salary(2)  Bonus(3) Units(shs)(4)  sation(5)
     ------------------      -----  ---------  -------  -------------  --------
                                                              
     James G. Maynard         1994  $ 97,200    $ -0-          -0-    $ 3,664(6)
     Chairman of the Board,   1993    97,200      -0-          -0-      7,413   
       Chief Executive        1992    97,200      -0-          -0-      5,832   
       Officer and
       Treasurer

     Glenn R. Moore           1994   149,000     7,500         -0-     12,520(7)
     President                1993   149,000      -0-        14,000    11,920   
                              1992   149,000      -0-          -0-      8,940   

     L. B. Carruth            1994   125,000     6,250         -0-     10,000(8)
     Vice President of        1993   123,972      -0-         7,500     9,918   
      Operations              1992   121,060      -0-          -0-      7,262   

     Kenneth W. Hatcher       1994   112,000     5,600         -0-      8,960(9)
     Vice President of        1993   111,243      -0-         6,000     8,899   
      Finance                 1992   108,852      -0-          -0-      6,532   



     (1)  The Company does not maintain a "long term incentive plan" as that
          plan is defined in the applicable rules.




                                         -6-












     







     (2)  Includes amounts deferred under the Company's Thrift Investment Plan.

     (3)  Includes bonus awards earned for performance in the fiscal year
          even though such amounts could be payable in subsequent years.

     (4)  During August 1993, the Company issued stock participation units of
          14,000, 7,500, and 6,000 to Messrs. Moore, Carruth, and Hatcher at
          $5.625 per share.  These shares vest 25% in August, 1995 and the
          balance in equal annual installments.  Payments are made upon
          termination of the employee's employment over a twenty-four month
          period.

     (5)  Totals shown consist of the Company's contributions to (i) the
          Retirement Plan in the amount of 3% of annual salary and (ii) the
          Thrift Investment Plan for the remainder.

     (6)  During 1994, $2,916 was accrued in the Retirement Plan and $748 in
          the Thrift Investment Plan on behalf of Mr. Maynard.

     (7)  During 1994, $4,695 was accrued in the Retirement Plan and $7,825 
          in the Thrift Investment Plan on behalf of Mr. Moore.

     (8)  During 1994, $3,750 was accrued in the Retirement Plan and $6,250
          in the Thrift Investment Plan on behalf of Mr. Carruth.

     (9)  During 1994, $3,360 was accrued in the Retirement Plan and $5,600
          in the Thrift Investment Plan on behalf of Mr. Hatcher.


















                                         -7-












     







     The table below summarizes the value of the stock options held by
     executive officers at December 31, 1994.

            Aggregated Option/Stock Participation (SPAR) Exercises in 1994
            and December 31, 1994 Option/Stock Participation (SPAR) Values


                                             Number of
                                             Securities          Value of 
                                             Underlying         Unexercised
                                             Unexercised       In-the-Money
                                         Options(1) & SPARs  Options & SPARs(2)
                                           at 12/31/94 (#)    at 12/31/94 ($)
                   Shares        Value
                 Acquired on    Realized     Exercisable/        Exercisable/
     Name        Exercise (#)      $        Unexercisable       Unexercisable
     ____        ____________   ________    _____________       _____________

     Maynard       -0-            -0-              0/0                0/0

     Moore       10,000         $6,850      25,000/14,000(3)       18,750/ 0

     Carruth       -0-            -0-        12,500/7,500(4)        9,375/ 0

     Hatcher       -0-            -0-        12,500/6,000(5)        9,375/ 0

     (1)  The Company's Stock Option Plan expired March 31, 1992 and,
          therefore, no additional stock options can be granted.  All
          unexercised options are currently exercisable.

     (2)  Based upon a price of $5.25 per share, the last bid price on NASDAQ
          of the Company's Common Stock on December 31, 1994.

     (3)  Represents 10,000 shares under option and 29,000 SPARs of which
          15,000 have vested.

     (4)  Represents 5,000 shares under option and 15,000 SPARs of which
          7,500 have vested.

     (5)  Represents 5,000 shares under option and 13,500 SPARs of which 
          7,500 have vested.





                                         -8-












     







          There were no awards of stock participation units to any employee
     in 1994.

     Compensation of Directors

          During 1994, each director, who was not an employee of the Company,
     received an annual retainer of $8,000.  In addition, each committee
     member, who was not an employee of the Company, (two each for both the
     Compensation and Audit Committees) received an annual amount of $3,000.

              COMPENSATION COMMITTEE REPORT ON EXECUTIVE COMPENSATION

          The Committee believes that its task is to compensate all executives
     fairly, taking into account both their long-term and recent contributions
     to the Company, the business conditions in which they  have been
     functioning, and its judgment as to their degree of success.  The
     Committee believes that services of outstanding value can be rendered in
     periods of financial or operating stringency, as well as in boom times.

          Compensation for each executive includes a salary and from time to
     time longer-term incentive compensation, such as stock options and stock
     participation units.  The Committee considers the total compensation
     (earned or potentially available) of each executive officer in
     establishing each element of compensation.  At the end of 1994, the
     Company awarded cash bonuses totalling $34,850 to a total of seven
     employees, excluding Mr. Maynard, to recognize what the Committee
     considered to be specifically meritorious performance during the year.

          Salaries for executives are reviewed by the Committee on an annual
     basis and may be increased at that time based on the individual's
     contribution to the Company or changes in the competitive level of pay. 
     The Committee has access to a national survey on oil and gas
     compensation, which includes executives in both larger and smaller
     companies.  Companies which participated in the compensation survey
     include privately held corporations, as well as companies on NASDAQ, the
     American Stock Exchange, and the New York Stock Exchange.  This national
     survey covers more companies than are included in the Performance Graph
     on Page 9 and it is believed to be the best available information for the
     intended purpose.  Mr. Carruth and Mr. Hatcher are paid compensation
     which generally ranks them in the mid-range of executives in similar
     positions for corporations of similar size, while Mr. Moore and Mr.
     Maynard are paid compensation which ranks them in the lower twenty-five



                                         -9-












     







     percent of executives in similar positions for corporations of similar
     size.  

          The Compensation Committee evaluates the salary of Mr. Maynard, the
     Chief Executive Officer, based largely on the Committee's assessment of
     his past and current performance and its expectation as to his future
     contributions in leading the Company and its business.  The Compensation
     Committee believes the key indicator for an oil and gas exploration and
     production company is the replacement of hydrocarbon reserves through
     drilling or acquisition, the cost of such reserves and the extent of the
     risk to which the shareholder's investment has been subjected during
     these periods.  During 1994, the Company's net equivalent barrels of
     reserves increased, largely through acquisition, by 30%.  Mr. Maynard's
     salary was increased by the Compensation Committee from an annual rate of
     $97,200 to $105,000 effective in fiscal 1995.  The Committee believes
     that Mr. Maynard's contributions to the Company warrant a salary in
     excess of $150,000 per year; it has limited Mr. Maynard's compensation as
     herein described at Mr. Maynard's express request.

          In determining salary and bonus awards for 1994, the Committee
     considered the Company's performance.  It considered these factors both
     on an absolute basis and relative to the oil and gas industry, in
     general.  In determining salaries for employees, other than Mr. Maynard,
     the Committee reviewed the Chief Executive Officer's recommendations
     based upon individual performance, as well as factors substantially
     comparable to those mentioned in the above paragraph.

          Since the price of the Company's stock is affected to a significant
     degree by oil and gas prices, over which executives have no control, and
     various other factors, over which they have limited control, the
     Committee has focused on salaries as the principal means of providing
     incentives and rewarding executive performance and bonuses.  The Company
     did not award stock options or stock participation units ("shadow stock")
     in 1994.

          During 1994, the Compensation Committee consisted of Ralph E.
     Graham, James G. Maynard and Robert B. McDermott, all directors of the
     Company.  Mr. Maynard does not take part in the determination of his
     compensation.

          The Compensation Committee Report on Executive Compensation shall
     not be deemed incorporated by reference by any general statement



                                         -10-












     







     incorporating by reference this proxy statement into any filing under the
     Securities Act of 1933 or under the Securities Exchange Act of 1934,
     except to the extent that the Company specifically incorporates the
     information by reference, and shall not otherwise be deemed filed under
     such Acts.

                              For the Compensation Committee

                              James G. Maynard
                              Robert B. McDermott
                              Ralph E. Graham


     Compensation Committee Interlocks and Insider Participation

          James G. Maynard is Chief Executive Officer and Chairman of the
     Board of the Company.  During 1994, the Compensation Committee consisted
     of Ralph E. Graham, James G. Maynard and Robert B. McDermott, all
     directors of the Company.

          Until March 1, 1992, Robert B. McDermott was a partner in the law
     firm of McDermott, Will & Emery, which serves as legal counsel to the
     Company.






















                                         -11-












     







                                 PERFORMANCE GRAPH

          Set forth below is a line graph comparing the yearly cumulative
     total stockholder return on the Company's Common Stock against the
     cumulative total return of the NASDAQ Stock Market for U.S. Companies and
     the NASDAQ Industry Index for oil and gas production companies for the
     five fiscal years ending December 30, 1994.  This graph assumes that $100
     was invested on December 29, 1989 and that all dividends were reinvested. 
     The price performance shown on the graph below is not necessarily
     indicative of future price performance.  The Company will make available
     to requesting stockholders the identities of the companies within the
     CRSP Index for NASDAQ stock (SIC-1300-1399 US Companies).  All of the
     companies listed in this index are involved in oil and gas extraction.

          The Performance Graph below shall not be deemed incorporated by
     reference by any general statement incorporating by reference this proxy
     statement into any filing under the Securities Act of 1933 or under the
     Securities Exchange Act of 1934, except to the extent that the Company
     specifically incorporates this information by reference, and shall not
     otherwise be deemed filed under such Acts.

                  Comparison of Five-Year-Cumulative Total Returns

                                           CRSP Index          CRSP Index
                                               for                 for
            Fiscal Year    Maynard Oil    Nasdaq Stock           NASDAQ
              Covered        Company         Market            Stocks (SIC
                                         (US Companies)    1300-1399 US Cos)*
            -----------    -----------   --------------    ------------------

             12/29/89         100.0           100.0              100.0
             12/31/90          94.1            84.9               81.6
             12/31/91          78.4           136.3               77.7
             12/31/92          72.5           158.6               80.1
             12/31/93          82.4           180.9              102.9
             12/30/94          78.4           176.9               97.1

     Notes:

     *    The peer index includes results from all US Companies trading on
          NASDAQ in the 130 SIC group, oil and gas extraction and production




                                         -12-












     







          companies, which includes 239 Companies over the period presented
          and 135 active at December 30, 1994.


                              INDEPENDENT ACCOUNTANTS

          Price Waterhouse audited the Company's financial statements for the
     year ending December 31, 1994 and has been selected as the independent
     accounting firm who will audit the Company's financial statements for the
     year ending December 31, 1995.  Representatives of Price Waterhouse are
     expected to be present at the meeting and will be given the opportunity
     to make a statement if they desire to do so and are expected to be
     available to respond to appropriate questions.

                              STOCKHOLDER'S PROPOSALS

          Any proposal by a stockholder of the Company intended to be
     presented at the next annual meeting of stockholders and included in the
     Company's proxy statement and form of proxy relating to that meeting,
     must be received by the Company at its principal executive office not
     later than December 20, 1995, and must also comply with other
     requirements of the proxy solicitation rules of the Securities and
     Exchange Commission.  In addition, the notice provisions contained in the
     Company's By-laws must be satisfied in order for a stockholder to bring
     business properly before any meeting of stockholders.


                                   OTHER MATTERS

          The Management of the Company does not know of any other matters
     that are to be presented for action at the annual meeting.  Should any
     other matter come before the meeting, however, the persons named in the
     enclosed proxy will have discretionary authority to vote all proxies with
     respect to such matter in accordance with their judgment.

                              By Order of the Board of Directors


                              Linda K. Burgess
                              Secretary and Controller





                                         -13-












     







     Dallas, Texas
     April 17, 1995











































                                         -14-












     







                                 MAYNARD OIL COMPANY

             This Proxy is Solicited on Behalf of the Board of Directors

          The undersigned hereby appoints James G. Maynard and Glenn R. Moore as
     Proxies, each with the power to appoint a substitute and hereby authorizes
     them to vote, as designated on the reverse side, all shares of common stock
     of Maynard Oil Company held of record by the undersigned on April 7, 1995,
     at the Annual Meeting of Stockholders to be held on May 17, 1995, or any
     adjournment or adjournments thereof.

          In their discretion, the Proxies are authorized to vote upon such
     other business as may properly come before the meeting.  THIS PROXY WHEN
     PROPERLY EXECUTED WILL BE VOTED IN THE MANNER DIRECTED BY THE UNDERSIGNED
     STOCKHOLDER, IF NO DIRECTION IS MADE, THIS PROXY WILL BE VOTED FOR THE
     DIRECTOR NOMINEES.

                             (continued on reverse side)








































     







     THIS PROXY WILL BE VOTED IN THE MANNER DIRECTED HEREIN BY THE 
     UNDERSIGNED STOCKHOLDER, IF NO DIRECTION IS MADE, THIS PROXY WILL BE VOTED
     FOR PROPOSAL 1.

     1.   To vote for the election of James G. Maynard, Ralph E. Graham, and
          Robert B. McDermott as directors, to hold office until the 1996 Annual
          Meeting of Stockholders.  If it is desired that votes be withheld from
          the election of any of the individual nominees, his name should be
          written in the following space.

          FOR       WITHHOLD AUTHORITY
                          TO VOTE       --------------------------------------


     2.   In their discretion, the Proxies   THIS PROXY IS SOLICITED ON
          are authorized to vote upon        BEHALF OF THE COMPANY'S
          such other business as may         BOARD OF DIRECTORS WHICH ENCOURAGES
          properly come before the meeting.  EACH SHAREHOLDER OF RECORD TO VOTE.
                                             Please sign exactly as name appears
                                             hereon.  When shares are held by
                                             joint tenants, both should sign. 
                                             When signing as attorney, as
                                             executor, administrator, trustee or
                                             guardian, please give full title as
                                             such.  If a corporation, please
                                             sign in full corporate name by
                                             President or other authorized
                                             officer.  If a partnership, please
                                             sign in partnership name by
                                             authorized person.

                                             Dated: ---------------------, 1995

                                             ----------------------------------
                                                             Signature
                                             ----------------------------------
                                                     Signature if held jointly

     PLEASE MARK INSIDE BLUE BOXES SO THAT   PLEASE MARK, SIGN, DATE AND RETURN
     DATA PROCESSING EQUIPMENT WILL RECORD   THE PROXY CARD PROMPTLY USING
     YOUR VOTES                              THE ENCLOSED ENVELOPE