Exhibit 3.3

 
                   Dated                               1997
                   ----------------------------------------



                          (1) ALLIANCE RESOURCES PLC

                                    - and -

                           (2) SOCIETY NATIONAL BANK



                              __________________


                               WARRANT AGREEMENT

                              __________________



                             ASHURST MORRIS CRISP
                                Broadwalk House
                                5 Appold Street
                               London  EC2A 2HA

                              Tel:  0171-638-1111
                              Fax:  0171-972-7990

                                 ASC/A90200030

 
                               WARRANT AGREEMENT

THIS AGREEMENT dated as of . ., 1997 between Alliance Resources PLC, a company
incorporated under the laws of England and Wales (the "COMPANY") and Society
National Bank, a national banking association organised and existing under the
laws of the United States (the "WARRANT AGENT").

RECITALS

(A)     The Company has determined by a resolution of its Board of Directors
        (being duly empowered and authorised by the Memorandum and Articles of
        Association of the Company) to issue up to 1,112,378 warrants (the
        "Warrants") entitling the holder thereof, on specified subscription
        dates, to subscribe for ordinary shares of 40p each in the capital of
        the Company ("Common Shares",  and such shares being the "Warrant
        Shares") and has determined to constitute the same in the manner
        hereinafter appearing.

(B)     The Warrants have been created in connection with the merger of a
        subsidiary of the Company and LaTex Resources Inc pursuant to an
        Agreement and Plan of Merger dated 12th August 1996 (the "Merger
        Agreement").

(C)     The particulars subject to which the Warrants are created are set out in
        this Agreement.

(D)     The Company desires to provide for the issuance of warrant certificates
        (the "WARRANT CERTIFICATES") representing the Warrants, upon completion
        of the Merger Agreement.

(E)     The Company desires the Warrant Agent to act on behalf of the Company,
        and the Warrant Agent is willing to so act, in connection with the
        issuance, registration, transfer and exchange of Warrant Certificates
        and exercise of the Warrants.

NOW, THEREFORE, in consideration of the foregoing and the mutual agreements
hereinafter set forth and for the purpose of defining the terms and provisions
of the Warrant Certificates and the Warrants and the respective rights and
obligations thereunder of the Company, the registered holders of the Warrant
Certificates and the Warrant Agent, the parties hereto agree as follows:-

1.      DEFINITIONS

        As used herein:-

        1.1    "COMMON SHARES" means shares of the Company of any class, whether
               now or hereafter authorised, which have the right to participate
               in the distribution of earnings and assets of the Company without
               limit as to amount or percentage, which as of the date hereof
               consist of the Company's Ordinary shares of 40p each;

               "CORPORATE OFFICE" means the place of business of the Warrant
               Agent located in Dallas, Texas, or its successor (for the mailing
               address of the Warrant Agent, see clause 14 hereof);

 
               "EFFECTIVE DATE" means the date on which the Merger Agreement is
               completed;

               "EXERCISE PERIOD" means the period commencing on the Effective
               Date and ending on the Expiration Date;

               "EXERCISE PRICE" means a purchase price of . per Common Share
               (the "WARRANT EXERCISE PRICE");

               "EXPIRATION DATE" means 5.00 p.m. Central Standard or Daylight
               Time on 19 November 1997;

               "REGISTERED HOLDER" means the person in whose name any Warrant
               Certificate shall be registered on the books maintained by the
               Warrant Agent pursuant to this agreement;

               "SUBSIDIARY" means any corporation of which shares having
               ordinary voting power to elect a majority of the board of
               directors of such corporation (regardless of whether the shares
               of any other class or classes of such corporation shall have or
               may have voting power by reason of the happening of any
               contingency) are at the time directly or indirectly owned by the
               Company or one or more subsidiaries of the Company;

               "TRANSFER AGENT" means the Company's transfer agent, Society
               National Bank, or its successor;

               "WARRANT" or "WARRANTS" means and includes up to 1,112,378
               Warrants, each to purchase 1 Common Share;

               "WARRANT SHARES" means and includes up to 1,112,378 Common Shares
               and any additional Common Shares or other property which may
               hereafter be issuable or deliverable on exercise of the Warrants
               pursuant to clause 9 of this agreement.

2.      APPOINTMENT OF WARRANT AGENT

        The Company hereby appoints the Warrant Agent to act as agent for the
        Company in accordance with the instructions set forth hereafter in this
        agreement, and the Warrant Agent hereby accepts such appointment and
        agrees to perform the duties and obligations required of it, as such
        duties and obligations are set forth herein.

3.      WARRANTS AND ISSUANCE OF WARRANT CERTIFICATES

3.1     Each Warrant shall initially entitle the Registered Holder of the
        Warrant Certificate representing such Warrant to subscribe one Common
        Share on exercise thereof, subject to modification and adjustment as
        hereinafter provided in clause 9.  Warrant Certificates representing up
        to an aggregate of 1,112,378 Warrants of the Company shall be executed
        by the proper officers of the Company and delivered to the Transfer
        Agent following the execution of this Agreement.  The 

                                      -2-

 
        Warrant Certificates will be issued and delivered by the Warrant Agent
        on written order of the Company signed by its duly authorised officers.
        The Warrant Agent shall deliver Warrant Certificates in required whole
        number denominations to the persons entitled thereto in connection with
        any transfer or exchange permitted under this agreement.

3.2     Except as provided in clause 9 hereof, the Warrant Shares shall be
        issued only on or after the Exercise Date (hereinafter defined) on
        exercise of the Warrants or on transfer or exchange of the Warrant
        Shares.

4.      FORM AND EXECUTION OF WARRANT CERTIFICATES

4.1     The Warrant Certificates shall be substantially in the form attached as
        exhibit "A" and may have such letters, numbers or other marks of
        identification and such legends, summaries or endorsements printed,
        lithographed or engraved thereon as the Company may deem appropriate and
        as are not inconsistent with the provisions of this agreement.  The
        Warrant Certificates shall be dated as of the date of issuance, whether
        on initial issuance, transfer, exchange or in lieu of mutilated, lost,
        stolen or destroyed Warrant Certificates.

4.2     Warrant Certificates shall be executed on behalf of the Company by its
        duly authorised officers in accordance with its Articles of Association,
        by manual signatures or by facsimile signatures printed thereon, and
        shall have imprinted thereon a facsimile of the Company's seal.  Warrant
        Certificates shall be manually countersigned by the Warrant Agent and
        shall not be valid for any purpose unless so countersigned.  In the
        event any officer of the Company who executed the Warrant Certificates
        shall cease to be an officer of the Company before the date of issuance
        of the Warrant Certificates or before countersignature and delivery by
        the Warrant Agent, such Warrant Certificates may be countersigned,
        issued and delivered by the Warrant Agent with the same force and effect
        as though the person who signed such Warrant Certificates had not ceased
        to be an officer of the Company.

5.      EXERCISE OF WARRANTS

5.1     The Warrants shall be exercisable during the Exercise Period, beginning
        on the Effective Date and continuing until the Expiration Date.  A
        Warrant shall be deemed to have been exercised immediately prior to the
        close of business on the date of the surrender for exercise (the
        "EXERCISE DATE") of the Warrant Certificate.  The exercise form shall be
        executed by the Registered Holder thereof or his attorney duly
        authorised in writing and shall be delivered together with payment to
        the Warrant Agent, in cash or by official bank or certified cheque, of
        an amount in lawful money of the United Kingdom. Such payment shall be
        in an amount equal to the Exercise Price per Warrant as hereinabove
        defined.

5.2     The person entitled to receive the number of Warrant Shares deliverable
        on such exercise shall be treated for all purposes as the holder of such
        Warrant Shares as of the close of business on the Exercise Date.  The
        Company shall not be obligated to issue any fractional share interests
        in Warrant Shares issuable on exercise of a Warrant.  If more than one
        Warrant shall be exercised at one time by the same Registered Holder,
        the number of full shares which shall be 

                                      -3-

 
        issuable on exercise thereof shall be computed on the basis of the
        aggregate number of full shares issuable on such exercise.

5.3     As soon as practicable on or after the Exercise Date and in any event
        within 30 days after such date, the Warrant Agent shall cause to be
        issued and delivered to the person or persons entitled to receive the
        same, a certificate or certificates for the number of Warrant Shares
        deliverable on such exercise.  No adjustment shall be made in respect of
        cash dividends on Warrant Shares deliverable on exercise of any Warrant.
        The Warrant Agent shall promptly notify the Company in writing of any
        exercise of any Warrant and of the number of Warrant Shares delivered
        and shall cause payment of an amount in cash equal to the Exercise Price
        to be made promptly to the order of the Company.  The parties
        contemplate such payments will be made by the Warrant Agent to the
        Company on a weekly basis and will consist of collected funds only.  The
        Warrant Agent shall hold any proceeds collected and not yet paid to the
        Company in a federally-insured escrow account at a commercial bank
        selected by agreement of the Company and the Warrant Agent, at all times
        relevant hereto.  Following a determination by the Warrant Agent that
        collected funds have been received, the Warrant Agent shall cause share
        certificates to be issued representing the number of Warrants exercised
        by the holder.

5.4     Expenses incurred by the Warrant Agent hereunder, including
        administrative costs, costs of maintaining records and other expenses,
        shall be paid by the Company according to the standard fees imposed by
        the Warrant Agent for such services.

5.5     A detailed accounting statement setting forth the number of Warrants
        exercised, the net amount of exercised funds and all expenses incurred
        by the Warrant Agent shall be transmitted to the Company on payment of
        each exercise amount.  Such accounting statement shall serve as an
        interim accounting for the Company during the Exercise Period. The
        Warrant Agent shall render to the Company a complete accounting setting
        forth the number of Warrants exercised, the identity of persons
        exercising such Warrants, the number of shares issued, the amounts to be
        distributed to the Company and all other expenses incurred by the
        Warrant Agent, at the completion of the Exercise Period. COPIES OF ALL
        OF THE ABOVE SHALL BE TRANSMITTED PROMPTLY TO CHELSEA STREET SECURITIES,
        INC., 222 WEST LAS COLINAS BOULEVARD, SUITE 2000, IRVING, TEXAS 75039.

6.      RESERVATION OF SHARES AND PAYMENT OF TAXES

6.1     The Company covenants that it will at all times keep available for issue
        sufficient authorised but unissued Common Shares as shall then be
        issuable on exercise of all outstanding Warrants.  The Company covenants
        that all Warrant Shares, when issued, shall be duly and validly issued,
        fully paid and non-assessable, and free from all taxes, liens and
        charges with respect to the issue thereof.

6.2     If any Warrant Shares require registration with or approval of any
        government authority under any federal or state law before such shares
        may be validly issued or delivered, the Company covenants it will in
        good faith and as expeditiously as possible endeavour to secure such
        registration or approval, as the case may be.

                                      -4-

 
6.3     The Warrant holder shall pay all documentary stamp or similar taxes and
        other government charges that may be imposed with respect to the
        issuance of the Warrants, or the issuance, transfer or delivery of any
        Warrant Shares on exercise of the Warrants.  In the event the Warrant
        Shares are to be delivered in a name other than the name of the
        Registered Holder of the Warrant Certificate, no such delivery shall be
        made unless the person requesting the same has paid to the Warrant Agent
        the amount of any such taxes or charges incident thereto.

6.4     The Warrant Agent is hereby irrevocably authorised to requisition
        certificates for Warrant Shares from the Company's Transfer Agent as
        required from time to time.  The Company has, contemporaneously with the
        execution of this agreement, authorised the Transfer Agent to comply
        with all such requisitions.  The Company will file with the Warrant
        Agent a statement setting forth the name and address of its Transfer
        Agent for Common Shares issuable on exercise of the Warrants and of each
        successor Transfer Agent, if any.


7.      REGISTRATION OF TRANSFER OF WARRANT CERTIFICATES

7.1     The Warrant Certificates may not be transferred in whole or in part
        except as authorised in this agreement.  Warrant Certificates to be
        exchanged shall be surrendered to the Warrant Agent at its corporate
        office.  The Company shall execute, and the Warrant Agent shall
        countersign, issue and deliver in exchange therefor, the Warrant
        Certificate or Certificates which the holder making the transfer shall
        be entitled to receive.

7.2     The Warrant Agent shall keep transfer books at its corporate office in
        which it shall register Warrant Certificates and the transfer thereof.
        On due presentment for transfer of any Warrant Certificates at such
        office, the Company shall execute, and the Warrant Agent shall issue and
        deliver to the transferee or transferees, a new Warrant Certificate or
        Certificates representing an equal aggregate number of Warrants.

7.3     The Warrants will not be listed or traded on a securities exchange.

8.      LOSS OR MUTILATION

        On receipt by the Company and the Warrant Agent of evidence satisfactory
        as to the ownership of and the loss, theft, destruction or mutilation of
        any Warrant Certificate, the Company shall execute, and the Warrant
        Agent shall countersign and deliver in lieu thereof, a new Warrant
        Certificate representing an equal aggregate number of Warrants.  In the
        case of loss, theft or destruction of any Warrant Certificate, the
        individual requesting issuance of a new Warrant Certificate shall be
        required to indemnify the Company and Warrant Agent in an amount
        satisfactory to each of them.  In the event a Warrant Certificate is
        mutilated, such certificate shall be surrendered and cancelled by the
        Warrant Agent prior to delivery of a new Warrant Certificate.
        Applicants for a substitute Warrant Certificate shall also comply with
        such other regulations and pay such other reasonable charges as the
        Company may prescribe.

                                      -5-

 
9.      ADJUSTMENT OF EXERCISE PRICE AND SHARES

9.1     In the event, prior to the expiration of the Warrants by exercise or by
        their terms, the Company shall issue any of its Common Shares as a stock
        dividend or shall subdivide the number of outstanding Common Shares into
        a greater number of shares, then, in either of such events, the Exercise
        Price in effect at the time of such action shall be reduced
        proportionately and the number of Common Shares purchasable pursuant to
        the Warrants shall be increased proportionately. Conversely, in the
        event the Company shall reduce the number of its outstanding Common
        Shares by combining such shares into a smaller number of shares, then,
        in such event, the Exercise Price in effect at the time of such action
        shall be increased proportionately and the number of Common Shares at
        that time purchasable pursuant to the Warrants shall be decreased
        proportionately. Such stock dividend paid or distributed on the Common
        Shares in shares of any other class of the Company or securities
        convertible into Common Shares shall be treated as a dividend paid or
        distributed in Common Shares to the extent Common Shares are issuable on
        the payment or conversion thereof.

9.2     In the event, prior to the expiration of the Warrants by exercise or by
        their terms, the Company shall be recapitalised by reclassifying its
        outstanding Common Shares into shares with a different nominal value, or
        by changing its outstanding Common Shares to shares without nominal
        value or in the event of any other material change of the capital
        structure of the Company or of any successor corporation by reason of
        any reclassification, recapitalisation or conveyance, prompt,
        proportionate, equitable, lawful and adequate provision shall be made
        whereby any holder of the Warrants shall thereafter have the right to
        purchase, on the basis and the terms and conditions specified in this
        agreement, in lieu of the Common Shares of the Company theretofore
        purchasable on the exercise of any Warrant, such securities or assets as
        may be issued or payable with respect to or in exchange for the number
        of Common Shares of the Company theretofore purchasable on exercise of
        the Warrants had such reclassification, recapitalisation or conveyance
        not taken place; and in any such event, the rights of any holder of a
        Warrant to any adjustment in the number of Common Shares purchasable on
        exercise of such Warrant, as set forth above, shall continue and be
        preserved in respect of any stock, securities or assets which the holder
        becomes entitled to purchase; provided, however, that a merger,
        acquisition of a going business or a portion thereof (whether for cash,
        stock, notes, other securities, or a combination of cash and
        securities), exchange of stock for stock, exchange of stock for assets,
        or like transaction involving the Company will not be considered a
        "MATERIAL CHANGE" for purposes of this clause 9.2, and no adjustment
        shall be made under this clause 9 by reason of any such merger,
        acquisition, exchange of stock for stock, exchange of stock for assets,
        or like transaction.

9.3     In the event the Company, at any time while the Warrants shall remain
        unexpired and unexercised, shall sell all or substantially all of its
        property, or dissolves, liquidates or winds up its affairs, prompt,
        proportionate, equitable, lawful and adequate provision shall be made as
        part of the terms of such sale, dissolution, liquidation or winding up
        such that the holder of a Warrant may thereafter receive, on exercise of
        such Warrant, in lieu of each Common Share of the Company which such
        holder would have been entitled to receive upon exercise of such
        Warrant, the same kind and amount of any stock, securities or assets as
        may be issuable, 

                                      -6-

 
        distributable or payable on any such sale, dissolution, liquidation or
        winding up with respect to each Common Share of the Company; provided,
        however, that in the event of any such sale, dissolution, liquidation or
        winding up, the right to exercise the Warrants shall terminate on a date
        fixed by the Company, such date to be not earlier than 5.00 p.m.,
        Central Time, on the 30th day next succeeding the date on which notice
        of such termination of the right to exercise the Warrants has been given
        by mail to the holders thereof at such addresses as may appear on the
        books of the Company.

9.4     In the event, prior to the expiration of the Warrants by exercise or by
        their terms, the Company shall take a record of the holders of its
        Common Shares for the purpose of entitling them to purchase its Common
        Shares at a price per share more than ten per cent. below the then
        current market price per share (as defined below) of its Common Shares
        at the date of taking such record, then (a) the number of Common Shares
        purchasable pursuant to the Warrants shall be redetermined as follows:
        the number of Common Shares purchasable pursuant to a Warrant
        immediately prior to such adjustment (taking in account fractional
        interests to the nearest 1,000th of a share) shall be multiplied by a
        fraction, the numerator of which shall be the number of Common Shares of
        the Company then outstanding immediately prior to the taking of such
        record, plus the number of additional shares offered for purchase, and
        the denominator of which shall be the number of Common Shares of the
        Company outstanding immediately prior to the taking of such record, plus
        the number of shares which the aggregate offering price of the total
        number of additional shares so offered would purchase at such current
        market price; and (b) the Exercise Price per Common Share purchasable
        pursuant to a Warrant shall be redetermined as follows: the Exercise
        Price in effect immediately prior to the taking of such record shall be
        multiplied by a fraction, the numerator of which is the number of Common
        Shares purchasable immediately prior to the taking of such record, and
        the denominator of which is the number of Common Shares purchasable
        immediately after the taking of such record as determined pursuant to
        clause 9.4(a) above; provided, however (c) that any adjustment in the
        number of shares issuable as set forth above shall be effective only to
        the extent sufficient Common Shares have been registered through a
        Registration Statement filed with the Securities and Exchange
        Commission, and (d) that any adjustment in the Exercise Price does not
        cause the Company to receive proceeds in excess of the amount authorised
        by any such Registration Statement.  For the purpose hereof, the current
        market price per Common Share of the Company at any date shall be deemed
        to be the average of the middle market price as derived from the London
        Stock Exchange Daily Official List for 30 consecutive business days
        commencing 15 business days prior to the record date.

9.5     On exercise of the Warrants by the holders, the Company shall not be
        required to deliver fractions of Common Shares; provided, however, that
        prompt, proportionate, equitable, lawful and adequate adjustment in the
        Exercise Price payable shall be made in respect of any such fraction of
        one Common Share on the basis of the Exercise Price per share.

9.6     In the event, prior to expiration of the Warrants by exercise or by
        their terms, the Company shall determine to take a record of the holders
        of its Common Shares for the purpose of determining shareholders
        entitled to receive any stock dividend, distribution or other right
        which will cause any change or adjustment in the number, amount, price
        or nature of the Common 

                                      -7-

 
        Shares or other stock, securities or assets deliverable on exercise of
        the Warrants pursuant to the foregoing provisions, the Company shall
        give to the Registered Holders of the Warrants at the addresses as may
        appear on the books of the Company at least 15 days' prior written
        notice to the effect that it intends to take such a record. Such notice
        shall specify the date as of which such record is to be taken; the
        purpose for which such record is to be taken; and the number, amount,
        price and nature of the Common Shares or other stock, securities or
        assets which will be deliverable on exercise of the Warrants after the
        action for which such record will be taken has been completed. Without
        limiting the obligation of the Company to provide notice to the
        Registered Holders of the Warrant Certificates of any corporate action
        hereunder, the failure of the Company to give notice shall not
        invalidate such corporate action of the Company.

9.7     The Warrant shall not entitle the holder thereof to any of the rights of
        shareholders or to any dividend declared on the Common Shares, unless
        the Warrant is exercised and the Common Shares purchased prior to the
        record date fixed by the board of directors of the Company for the
        determination of holders of Common Shares entitled to such dividend or
        other right.

9.8     No adjustment of the Exercise Price shall be made as a result of or in
        connection with (a) the establishment of one or more employee stock
        option plans for employees of the Company, or the modification, renewal
        or extension of any such plan, or the issuance of Common Shares on
        exercise of any options pursuant to any such plan, (b) the issuance of
        individual warrants or options to purchase Common Shares, the issuance
        of Common Shares upon exercise of such warrants or options, or the
        issuance of Common Shares in connection with compensation arrangements
        for directors, officers, employees or agents of the Company or any
        Subsidiary, and the like, or (c) the issuance of Common Shares in
        connection with a merger, acquisition of a going business or a portion
        thereof (whether for cash, stock, notes, other securities, or a
        combination of cash and securities), exchange of stock for stock,
        exchange of stock for assets, or like transaction.

10.     EXTENSION OF WARRANT EXERCISE PERIOD

        The Warrant Exercise Period may be extended one or more times, and from
        time to time, in the sole discretion of the Company and the Warrant
        Agent.  Any such extension shall be evidenced by a written modification
        of this Warrant Agreement executed by the Company and the Warrant Agent.
        Within fifteen days of the execution of any such written modification of
        this Warrant Agreement, the Company shall file with the Securities and
        the Exchange Commission a Post-effective Amendment to the Registration
        Statement registering the Common Shares underlying the Warrants.

11.     PURCHASE OR REDEMPTION OF WARRANTS BY THE COMPANY

11.1    The Warrants are redeemable upon 30 days' notice to their holders for
        $.01 per Warrant. Notice of any such redemption will be mailed by the
        Company to the Registered Holders of the Warrants at the addresses as
        may appear on the books of the Company. Unless, prior to the expiration
        of such 30-day notice period, a Registered Holder exercises his right to
        purchase the 

                                      -8-

 
        Shares of Common Stock covered by his Warrants, such Registered Holder
        will forfeit his right to do so, and will be entitled only to the
        redemption price of such Warrants, if redeemed.

11.2    In the event the Company shall purchase, redeem, or otherwise acquire
        Warrants, the same shall thereupon be delivered to the Warrant Agent and
        be cancelled and retired by the Warrant Agent.

12.     DUTIES, COMPENSATION AND TERMINATION OF WARRANT AGENT

12.1    The Warrant Agent shall act hereunder as agent and in a ministerial
        capacity for the Company, and its duties shall be determined solely by
        the provisions hereof.  The Warrant Agent shall not, by issuing and
        delivering Warrant Certificates or by any other act hereunder, be deemed
        to make any representations as to the validity, value or authorisation
        of the Warrant Certificates or the Warrants represented thereby or of
        the Common Shares or other property delivered on exercise of any
        Warrant.  The Warrant Agent shall not be under any duty or
        responsibility to any holder of the Warrant Certificates to make or
        cause to be made any adjustment of the Exercise Price or to determine
        whether any fact exists which may require any such adjustments.

12.2    The Warrant Agent shall not (a) be liable for any recital or statement
        of fact contained herein or for any action taken or omitted by it in
        reliance on any Warrant Certificate or other document or instrument
        believed by it in good faith to be genuine and to have been signed or
        presented by the proper party or parties, (b) be responsible for any
        failure on the part of the Company to comply with any of its covenants
        and obligations contained in this agreement or in the Warrant
        Certificates, or (c) be liable for any act or omission in connection
        with this agreement except for its own negligence or wilful misconduct.

12.3    The Warrant Agent may at any time consult with counsel satisfactory to
        it (who may be counsel for the Company) and shall incur no liability or
        responsibility for any action taken or omitted by it in good faith in
        accordance with such notice, statement, instruction, request, direction,
        order or demand.

12.4    Any notice, statement, instruction, request, direction, order or demand
        of the Company shall be sufficiently evidenced by an instrument signed
        by a director and attested by its secretary or assistant secretary.  The
        Warrant Agent shall not be liable for any action taken or omitted by it
        in accordance with such notice, statement, instruction, request,
        direction, order or demand.

12.5    The Company agrees to pay the Warrant Agent reasonable compensation for
        its services hereunder and to reimburse the Warrant Agent for its
        reasonable expenses.  The Company further agrees to indemnify the
        Warrant Agent against any and all losses, expenses and liabilities,
        including judgments, costs and counsel fees, for any action taken or
        omitted by the Warrant Agent in the execution of its duties and powers
        hereunder, excepting losses, expenses and liabilities arising as a
        result of the Warrant Agent's negligence or wilful misconduct.

12.6    The Warrant Agent may resign its duties or the Company may terminate the
        Warrant Agent and the Warrant Agent shall be discharged from all further
        duties and liabilities hereunder (except liabilities arising as a result
        of the Warrant Agent's own negligence or wilful misconduct) on 30 

                                      -9-

 
        days' prior written notice to the other party. At least 15 days prior to
        the date such resignation is to become effective, the Warrant Agent
        shall cause a copy of such notice of resignation to be mailed to the
        Registered Holder of each Warrant Certificate. On such resignation or
        termination, the Company shall appoint a new Warrant Agent. If the
        Company shall fail to make such appointment within a period of 30 days
        after it has been notified in writing of the resignation by the Warrant
        Agent, then the Registered Holder of any Warrant Certificate may apply
        to any court of competent jurisdiction for the appointment of a new
        Warrant Agent. Any new Warrant Agent, whether appointed by the Company
        or by such court, shall be a bank or trust company having a capital and
        surplus, as shown by its last published report to its shareholders, of
        not less than $1,000,000.

12.7    After acceptance in writing of an appointment of a new Warrant Agent is
        received by the Company, such new Warrant Agent shall be vested with the
        same powers, rights, duties and responsibilities as if it had been
        originally named herein as the Warrant Agent, without any further
        assurance, conveyance, act or deed; provided, however, if it shall be
        necessary or expedient to execute and deliver any further assurance,
        conveyance, act or deed, the same shall be done at the expense of the
        Company and shall be legally and validly executed.  The Company shall
        file a notice of appointment of a new Warrant Agent with the resigning
        Warrant Agent and shall forthwith cause a copy of such notice to be
        mailed to the Registered Holder of each Warrant Certificate.

12.8    Any corporation into which the Warrant Agent or any new Warrant Agent
        may be converted or merged, or any corporation resulting from any
        consolidation to which the Warrant Agent or any new Warrant Agent shall
        be a party, or any corporation succeeding to the corporate trust
        business of the Warrant Agent shall be a successor Warrant Agent under
        this agreement, provided that such corporation is eligible for
        appointment as a successor to the Warrant Agent.  Any such successor
        Warrant Agent shall promptly cause notice of its succession as Warrant
        Agent to be mailed to the Company and to the Registered Holder of each
        Warrant Certificate.  No further action shall be required for
        establishment and authorisation of such successor Warrant Agent.

12.9    The Warrant Agent, its officers or directors and its subsidiaries or
        affiliates may buy, hold or sell Warrants or other securities of the
        Company and otherwise deal with the Company in the same manner and to
        the same extent and with like effect as though it were not the Warrant
        Agent.  Nothing herein shall preclude the Warrant Agent from acting in
        any other capacity for the Company.

13.     MODIFICATION OF AGREEMENT

        The Warrant Agent and the Company may by supplemental agreement make any
        changes or corrections in this agreement they shall deem appropriate to
        cure any ambiguity or to correct any defective or inconsistent provision
        or mistake or error herein contained.  Additionally, the parties may
        make any changes or corrections deemed necessary which shall not
        adversely affect the interests of the holders of Warrant Certificates;
        provided, however, this agreement shall not otherwise be modified,
        supplemented or altered in any respect, except with the consent in

                                      -10-

 
        writing of the Registered Holders of Warrant Certificates representing
        not less than 66 2/3 per cent. of the Warrants outstanding; provided,
        however, that no change in the number or nature of the Warrant Shares
        purchasable on exercise of a Warrant, or the Exercise Price or the
        Exercise Period thereof shall be made without the consent, in writing,
        of the Registered Holder of the Warrant Certificate representing such
        Warrant, other than such changes as are specifically prescribed by this
        agreement.

14.     NOTICES

        All notices, demands, elections, opinions or requests (however
        characterised or described) required or authorised hereunder shall be
        deemed given sufficiently in writing and set by registered or certified
        mail, return receipt requested and postage prepaid, or by tested telex,
        telegram or cable to:-

        in the case of the Company:               Alliance Resources plc
                                                  Kingsbury House
                                                  15-17 King Street
                                                  London SW1Y 6QU

        and, in the case of the Warrant Agent:    Society National Bank
                                                  P. O. Box 2320
                                                  Dallas, Texas 75221-2320

        and, if to the Registered Holder of a Warrant Certificate, at the
        address of such holder as set forth on the books maintained by the
        Warrant Agent.

15.     PERSONS BENEFITING

        This agreement shall be binding upon and inure to the benefit of the
        Company, the Warrant Agent and their respective successors and assigns,
        and the holders from time to time of the Warrant Certificates. Nothing
        in this agreement is intended to or shall be construed to confer on any
        other person any right, remedy or claim or to impose on any other person
        any duty, liability or obligation.

16.     FURTHER INSTRUMENTS

        The parties shall execute and deliver any and all such other instruments
        and shall take any and all such other actions as may be reasonable or
        necessary to carry out the intention of this agreement.

17.     SEVERABILITY

        If any provision of this agreement shall be held, declared or pronounced
        void, voidable, invalid, unenforceable or inoperative for any reason by
        any court of competent jurisdiction, government authority or otherwise,
        such holding, declaration or pronouncement shall not adversely affect

                                      -11-

 
        any other provision of this agreement, which shall otherwise remain in
        full force and effect and be enforced in accordance with its terms, and
        the effect of such holding, declaration or pronouncement shall be
        limited to the territory or jurisdiction in which made.

18.     WAIVER

        All the rights and remedies of either party under this agreement are
        cumulative and not exclusive of any other rights and remedies as
        provided by law.  No delay or failure on the part of either party in the
        exercise of any right or remedy arising from a breach of this agreement
        shall operate as a waiver of any subsequent right or remedy arising from
        a subsequent breach of this agreement.  The consent of any party where
        required hereunder to any act or occurrence shall not be deemed to be a
        consent to any other act or occurrence.

19.     GENERAL PROVISIONS

        This agreement shall be construed and enforced in accordance with, and
        governed by, the laws of England.  Except as otherwise expressly stated
        herein, time is of the essence in performing hereunder.  This agreement
        embodies the entire agreement and understanding between the parties and
        supersedes all prior agreements and understandings relating to the
        subject matter hereof, and this agreement may not be modified or amended
        or any term or provision hereof waived or discharged except in writing
        signed by the party against whom such amendment, modification, waiver or
        discharge is sought to be enforced. The headings of this agreement are
        for convenience of reference only and shall not limit or otherwise
        affect the meaning thereof. This agreement may be executed in any number
        of counterparts, each of which shall be deemed an original, but all of
        which taken together shall constitute one and the same instrument.

IN WITNESS whereof this agreement has been executed on the date first above
written.

                                      -12-

 
Signed by                                   )
                                            )
for and on behalf of ALLIANCE RESOURCES PLC )  
in the presence of:-                        )
                                    


Signed by                                   )
                                            )
for and on behalf of SOCIETY NATIONAL       )
BANK in the presence of:-                   )

                                      -13-

 
                                   CONTENTS
 
CLAUSE                                                                 PAGE

1.   DEFINITIONS........................................................  1
2.   APPOINTMENT OF WARRANT AGENT.......................................  2
3.   WARRANTS AND ISSUANCE OF WARRANT CERTIFICATES......................  3
4.   FORM AND EXECUTION OF WARRANT CERTIFICATES.........................  3
5.   EXERCISE OF WARRANTS...............................................  4
6.   RESERVATION OF SHARES AND PAYMENT OF TAXES.........................  5
7.   REGISTRATION OF TRANSFER OF WARRANT CERTIFICATES...................  5
8.   LOSS OR MUTILATION.................................................  6
9.   ADJUSTMENT OF EXERCISE PRICE AND SHARES............................  6
10.  EXTENSION OF WARRANT EXERCISE PERIOD...............................  9
11.  PURCHASE OR REDEMPTION OF WARRANTS BY THE COMPANY..................  9
12.  DUTIES, COMPENSATION AND TERMINATION OF WARRANT AGENT.............. 10
13.  MODIFICATION OF AGREEMENT.......................................... 11
14.  NOTICES............................................................ 12
15.  PERSONS BENEFITING................................................. 12
16.  FURTHER INSTRUMENTS................................................ 13
17.  SEVERABILITY....................................................... 13
18.  WAIVER............................................................. 13
19.  GENERAL PROVISIONS................................................. 13