EXHIBIT 3.4
     
           DATED                                               1997
           --------------------------------------------------------



                            ALLIANCE RESOURCES PLC


                     _____________________________________              

                              WARRANT INSTRUMENT


                  relating to the issue of Warrants entitling
                      the Warrantholder to subscribe for
                        Ordinary Shares of 40p each in
                            Alliance Resources PLC

                     _____________________________________              



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

                              Tel:  0171-638-1111
                              Fax:  0171-972-7990
                               ASC/PDG/A90200030

 
THIS WARRANT INSTRUMENT  is entered into by way of deed poll this . day of .
1997 by Alliance Resources Plc a company registered in England and Wales with
number 2532955 whose registered office is at Kingsbury House, 15-17 King Street,
London, SW1Y 6QU ("THE COMPANY").

WHEREAS:-

(1)  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 2,026,468 Warrants each entitling the holder
     thereof, on specified subscription dates, to subscribe for ordinary shares
     of 40 pence each in the capital of the Company ("Ordinary Shares") and has
     determined to constitute the same in the manner hereinafter appearing.

(2)  The Warrants (other than the Series "G" Warrants) have been created in
     connection with the merger of the Company with LaTex Resources Inc.
     pursuant to an Agreement and Plan of Merger (the "Merger Agreement") dated
     12th August 1996, details of such merger being set out in the listing
     particulars relating to the Company dated .. 1997 (the "Listing
     Particulars").

(3)  The Series "G" Warrants have been created in connection with the ORRI
     Acquisition (as defined in the Listing Particulars").

(4)  The particulars subject to which the Warrants are created are set out in
     the Schedule hereto.

NOW THIS WARRANT INSTRUMENT WITNESSES AND THE COMPANY HEREBY AGREES AND DECLARES
AS FOLLOWS:-

I.   INTERPRETATION

     In this Warrant Instrument, unless the context otherwise requires, the
     expressions defined in the particulars of Warrants set out in the Schedule
     hereto shall have the meanings thereby given.

II.  WARRANTS

A.   The Warrants shall be constituted as follows:-

     (a)  96,729 Series "B" Warrants entitling the holders to subscribe for
          Ordinary Shares at a fixed price of . pence (subject to the provisions
          of the Schedule hereto) at any time prior to 16 November 1997;

     (b)  68,785 Series "C" Warrants entitling the holders to subscribe for
          Ordinary Shares at a fixed price of . pence (subject to the provisions
          of the Schedule hereto) at any time prior to 25 January 1998;

 
     (c)  343,924 Series "D" Warrants entitling the holders to subscribe for
          Ordinary Shares at a fixed price of . pence (subject to the provisions
          of the Schedule hereto) at any time prior to 31 March 2001;

     (d)  30,953 Series "E" Warrants entitling the holders to subscribe for
          Ordinary Shares at a fixed price of . pence (subject to the provisions
          of the Schedule hereto) at any time prior to 31 October 2001; and

     (e)  275,139 Series "F" Warrants entitling the holders to subscribe for
          Ordinary Shares at a fixed price of . pence (subject to the provisions
          of the Schedule hereto) at any time prior to 16 December 2002;

     (f)  1,210,938 Series "G" Warrants entitling the holders to subscribe for
          Ordinary Share at a fixed price of (Pounds)1 (subject to the
          provisions of the Schedule hereto) at any prior to the tenth
          anniversary of the date of issue,

     each of the relative final dates for exercise of a Warrant being, in
     respect of the Warrants to which it relates, the "Expiry Date" and each of
     the relative prices payable upon exercise of a Warrant being, in respect of
     the Warrants to which it relates, the "Subscription Price".

B.   The Warrants shall only be issued at such time or times as may be required
     from time to time to satisfy the Company's obligations pursuant to the
     Merger Agreement or in connection with the ORRI Acquisition to issue up to
     96,729 Series "B" Warrants, 68,785 Series "C" Warrants, 343,924 Series "D"
     Warrants, 30,953 Series "E" Warrants, 275,139 Series "F" Warrants and
     1,210,938 Series "G" Warrants and shall rank pari passu in all respects and
     without discrimination or preference.

III. CERTIFICATES

     Every Warrant holder shall be entitled to receive one certificate for each
     Series of the Warrant(s) held by him but joint holders shall be entitled to
     only one certificate in respect of the Warrants held jointly by them which
     certificates shall be delivered to the joint holder whose name stands first
     in the Register. Every certificate shall be under the securities seal of
     the Company which shall be affixed in such manner as shall be permitted by
     the Articles of Association of the Company. The Company shall comply with
     the terms and conditions of the Schedule hereto and the Warrants shall be
     held subject to such terms and conditions all of which terms shall be
     deemed to be incorporated in this Warrant Instrument and shall be binding
     on the Company and the Warrant holders and all persons claiming through or
     under them respectively.

IV.  APPOINTMENT OF WARRANT AGENT

     The Company may in its absolute discretion by Resolution of its Board of
     Directors (being duly empowered and authorised by the Memorandum and
     Articles of Association of the Company) appoint as agent of the Company
     such person or persons as it thinks fit to act in connection with the
     issue, registration, transfer and exchange or otherwise of warrants (the
     "Warrant Agent"). The Company agrees that the Warrant Agent shall perform
     the duties and obligations required of it in accordance with the terms and

                                      -2-

 
     conditions of the Schedule hereto and any other terms that the Company sees
     fit and to undertake all responsibilities hereby vested for the time being
     in the Company.

                                      -3-

 
IN WITNESS  whereof the Company has executed this Warrant Instrument as a deed
the day and year first above written.

Executed as a deed by                   )
Alliance Resources Plc                  )
acting by two of its directors/         )
one of its directors and                )
its secretary                           )


                                        Director


                                        Director/Secretary

                                      -4-

 
                                   SCHEDULE


1.   SUBSCRIPTION RIGHTS

     (a)  A registered holder (a "holder") of a Warrant shall have the right,
          exercisable in accordance with paragraph 1(c) below, to subscribe
          ("the subscription rights") in cash on any date prior to the Expiry
          Date in respect of such Warrant, on the following terms: for each
          Warrant specified in the Warrant certificate one Ordinary Share at the
          Subscription Price in respect of such Warrant payable in full on
          subscription. The number and/or the nominal value of Ordinary Shares
          to be subscribed and the subscription price are subject to adjustment
          pursuant to paragraph 2 below. The subscription rights will not be
          exercisable in respect of a fraction of an Ordinary Share. Failure to
          exercise a Warrant prior to 5.00 p.m. on the relative Expiry Date will
          mean that the Warrant shall become void and all rights attaching to
          such Warrant shall cease.

     (b)  The number of Warrants to which each registered holder of Warrants
          shall be entitled shall be evidenced by a Warrant certificate issued
          by the Company. Warrant certificates shall be dated as at the date of
          issue, whether on initial issue, transfer, exchange or in lieu of
          mutilated, lost, stolen or destroyed Warrant certificates. Warrants
          shall be deemed to have been exercised immediately prior to the close
          of business on the date of the surrender for exercise of the Warrant
          certificate.

     (c)  In order to exercise the subscription rights in respect of any
          Warrants, the registered Warrant holder must, having completed the
          notice of subscription on his Warrant certificate, lodge it at the
          office of the Registrars of the Company accompanied by a remittance
          for the total subscription price of the Ordinary Shares in respect of
          which the subscription rights are being exercised. Once lodged, a
          notice of subscription shall be irrevocable save with the consent of
          the Directors.

     (d)  Ordinary Shares issued pursuant to the exercise of subscription rights
          will be allotted not later than 14 days after, and with effect from,
          the date on which the relative duly completed subscription notice
          shall be lodged with the Registrars of the Company (the "subscription
          date") and Ordinary Share certificates in respect of such Ordinary
          Shares will be issued free of charge and despatched (at the risk of
          the persons entitled thereto) not later than 14 days after the
          relevant subscription date to the first named person in whose name the
          Warrants are registered at the relevant subscription date or (subject
          as provided by law) to such other persons as may be named in the form
          of nomination upon the reverse of the Warrant certificate. In the
          event that not all of the Warrants evidenced by a Warrant certificate
          are exercised, the Company shall at the same time issue for no payment
          a fresh Warrant certificate in the name of the Warrant holder for any
          balance of the subscription rights remaining exercisable.

     (e)  Ordinary Shares allotted pursuant to the exercise of subscription
          rights will not rank for any dividends or other distributions
          declared, made or paid in respect of any financial year of the Company
          prior to the financial year in which the relevant

                                      -5-

 
          subscription date falls, nor shall they rank for any dividends or
          other distributions declared, made or paid on a date (or by reference
          to a record date) prior to the relevant subscription date but, subject
          thereto, will rank pari passu in all other respects with the Ordinary
          Shares in issue at the relevant subscription date including ranking in
          full for all dividends and other distributions in respect of the
          financial year in which the relevant subscription date occurs provided
          that on any allotment falling to be made pursuant to paragraph 3(c) or
          3(d) below the Ordinary Shares so to be allotted shall not rank for
          any dividends or other distributions declared, made or paid by
          reference to a record date prior to the date of allotment.

     (f)  Application will be made to the London Stock Exchange for the Ordinary
          Shares allotted pursuant to any exercise of subscription rights to be
          admitted to the Official List and the Company will use all reasonable
          endeavours to obtain the admission thereof not later than 28 days
          after the relevant subscription date. To the extent not then exercised
          all subscription rights in respect of any Series of Warrants shall
          lapse at 5.00pm on the Expiry Date in respect of such Warrants.

     (g)  The Company shall be entitled to impose such conditions and
          restrictions on transfer as it may from time to time determine are
          reasonably necessary for the purpose of complying with relevant
          securities laws of the United States.

2.   ADJUSTMENT OF SUBSCRIPTION PRICE

     (a)  If, on a date (or by reference to a record date) on or before the
          relative Expiry Date in respect of a Warrant, the Company shall allot
          any Ordinary Shares fully paid by way of capitalisation of profits or
          reserves to holders of Ordinary Shares on the register on a date (or
          by reference to a record date) before the relative Expiry Date or upon
          any consolidation or sub-division of the Ordinary Shares before such
          Expiry Date, the number and/or nominal value of Ordinary Shares to be
          subscribed on any subsequent exercise of the subscription rights in
          respect of that Warrant will be increased or, as the case may be,
          reduced in due proportion and the subscription price per Ordinary
          Share will be adjusted accordingly. On any such capitalisation,
          consolidation or sub-division the Company will procure that the
          auditors for the time being of the Company will verify the correctness
          of the appropriate adjustments and, within 28 days of such
          adjustments, notice will be sent to each Warrant holder of the
          adjusted number of Ordinary Shares to which the Warrant holder is
          entitled to subscribe in consequence thereof, fractional entitlements
          being ignored, such notice being accompanied by a new Warrant
          certificate in respect of such adjusted number of Ordinary Shares.

     (b)  If, on a date (or by reference to a record date) on or before the
          relative Expiry Date, the Company makes any offer or invitation
          (whether by rights issue, rights offer or otherwise but not being an
          offer to which paragraph 3(c) below applies or an offer of shares in
          lieu of a cash dividend payment) to the holders of Ordinary Shares in
          their capacity as such, or any offer or invitation (not being an offer
          to which paragraph 3(d) below applies) is made to such holders
          otherwise than by the Company, then the Company shall, as far as it is
          able, procure that at the same time the same offer or invitation is
          made to the then Warrant holders as if their

                                      -6-

 
          subscription rights had been exercisable and had been exercised on the
          day immediately preceding the date (or record date) of such offer or
          invitation on the terms (subject to any adjustment pursuant to
          paragraph 2(a) above) on which the same could have been exercised on
          the basis then applicable provided that, if the Directors shall so
          resolve, in the case of any offer or invitation made by the Company,
          the Company shall not be required to procure that the same offer or
          invitation is made to the Warrant holders but the subscription price
          and/or the number of Ordinary Shares to be subscribed on any
          subsequent exercise of the subscription rights shall be adjusted
          accordingly. The Company will procure that the auditors for the time
          being of the Company will certify in writing the appropriateness of
          the adjustments and, within 28 days, notice will be sent to each
          Warrant holder together with a new Warrant certificate in respect of
          the adjusted number of Ordinary Shares to which that Warrant holder is
          entitled to subscribe in consequence thereof, fractional entitlements
          being ignored.

     (c)  No adjustment shall be made to the subscription price of a Series of
          Warrants pursuant to paragraph 2(a) or (b) if such adjustment would
          (taken together with the amount of any adjustment carried forward
          under the provisions of this paragraph 2(c)) be less than 1 per cent.
          of the relative subscription price then in force and on any adjustment
          the adjusted subscription price will be rounded down to the nearest
          0.5p. Any adjustment not so made and any amount by which the
          subscription price is rounded down will be carried forward and taken
          into account in any subsequent adjustment.

3.   OTHER PROVISIONS

     So long as any subscription rights remain exercisable:

     (a)  the Company shall keep available for issue sufficient authorised but
          unissued share capital to satisfy in full (without the need for the
          passing of any resolution by shareholders) all subscription rights
          remaining exercisable;

     (b)  the Company shall not (except with the sanction of an extraordinary
          resolution of the Warrant holders of each Series) issue any Ordinary
          Shares credited as fully paid by way of capitalisation of profits or
          reserves nor make any such offer as is referred to in paragraph 2(b)
          above if as a result the Company would on any subsequent exercise of
          the subscription rights be obliged to issue Ordinary Shares at a
          discount;

     (c)  if at any time an offer or invitation is made by the Company to the
          holders of the Ordinary Shares for the purchase by the Company of any
          of its Ordinary Shares, the Company shall simultaneously give notice
          thereof to the Warrant holders and each such Warrant holder shall be
          entitled at any time while such offer or invitation is open for
          acceptance to exercise his subscription rights as if they were then
          exercisable so as to take effect as if he had exercised his rights
          immediately prior to the date (or record date) of such offer or
          invitation;

     (d)  if at any time an offer is made to all holders of Ordinary Shares (or
          all holders of Ordinary Shares other than the offeror and/or any
          company controlled by the offeror

                                      -7-

 
          and/or persons acting in concert with the offeror) to acquire the
          whole or any part of the issued share capital of the Company and the
          Company becomes aware that as a result of such offer the right to cast
          a majority of the votes which may ordinarily be cast on a poll at a
          general meeting of the Company has or will become vested in the
          offeror and/or such persons or companies as aforesaid, the Company
          shall give notice to the Warrant holders of such vesting within 14
          days of its becoming so aware, and each such Warrant holder shall be
          entitled, at any time within the period of 60 days immediately
          following the date of such notice, to exercise his subscription rights
          as if they were exercisable on the last day of the said 60 day period
          on the basis (subject to any adjustment pursuant to paragraph 2 above)
          then applicable. Upon the expiry of such period, all Warrants shall
          lapse. Publication of a scheme of arrangement under the Companies Act
          1985 (as from time to time amended or re-enacted) providing for the
          acquisition by any person of the whole or any part of the issued share
          capital of the Company shall be deemed to be the making of an offer
          for the purposes of this paragraph 3(d);

     (e)  if the Company commences liquidation, whether voluntary or compulsory
          (except for the purpose of reconstruction, amalgamation or unitisation
          on terms sanctioned by an extraordinary resolution of the holders of
          the Warrants), it shall forthwith give notice thereof to all holders
          of Warrants; thereupon each holder of a Warrant will (if in such
          winding-up there shall be a surplus available for distribution amongst
          the holders of the Ordinary Shares (including for this purpose the
          Ordinary Shares which would arise on the exercise of all the
          outstanding subscription rights) which, taking into account the
          amounts payable on the exercise of the subscription rights, exceeds in
          respect of each Ordinary Share a sum equal to the subscription price)
          be treated as if immediately before the date of such order or
          resolution his subscription rights had been exercisable and had been
          exercised in full and shall accordingly be entitled to receive out of
          the assets available on liquidation pari passu with the holders of the
          Ordinary Shares such a sum as he would have received had he been the
          holder of the Ordinary Shares to which he would have become entitled
          by virtue of such subscription after deducting a sum per share equal
          to the subscription price; subject to the foregoing, all subscription
          rights shall lapse on liquidation of the Company; and

     (f)  the Company shall not (except with the sanction of an extraordinary
          resolution of the Warrant holders of each series) make any allotment
          of fully paid Ordinary Shares by way of capitalisation of profits or
          reserves unless at the date of such allotment the Directors have
          authority to grant the additional rights to subscribe to which the
          Warrant holders will by virtue of paragraph 2(a) above be entitled in
          consequence of such capitalisation.

4.   MODIFICATION OF RIGHTS AND WARRANT INSTRUMENT

     All or any of the rights for the time being attached to the Warrants may
     from time to time (whether or not the Company is being wound up) be altered
     or abrogated with the sanction of an extraordinary resolution of the
     holders of the Warrants of each Series affected by such alteration or
     abrogation. Such alteration or abrogation approved as aforesaid shall be
     effected by deed poll executed by the Company and expressed to be
     supplemental to this 

                                      -8-

 
     Warrant Instrument. Modifications to this Warrant Instrument which are of a
     formal, minor or technical nature, or made to correct a manifest error, or
     any modifications which the Directors consider appropriate may be effected
     by deed poll executed by the Company and expressed to be supplemental to
     this Warrant Instrument and notice of such alteration or abrogation or
     modification shall be given by the Company to the Warrant holders.


5.   PURCHASE BY THE COMPANY

     The Company shall be entitled at any time to purchase Warrants on the open
     market or otherwise. Any Warrants so purchased shall be cancelled
     immediately and shall not be available for re-issue.

6.   TRANSFER

6.1  The Warrants will be registered and transferable in whole or in part by
     instrument of transfer in any usual or common form or in any other form
     which may be approved by the Directors except that no transfer of a right
     to subscribe for a fraction of an Ordinary Share shall be effected. Save
     insofar as the same would be inconsistent with this Warrant Instrument, the
     provisions of the Articles of Association of the Company relating to the
     registration, transfer and transmission of shares shall apply mutatis
     mutandis to the Warrants.

6.2  Notwithstanding any other provision contained herein, for so long as any
     Regulated Entity, holds any Series "G" Warrants which, upon exercise, would
     result in such Regulated Entity holding more than 5% of the outstanding
     Ordinary Shares, such Regulated Entity may only transfer the Series "G"
     Warrants under the following circumstances; (i) in a widely distributed
     public offering; (ii) in a transfer pursuant to Rule 144 under the United
     States of America ("U.S.") Securities Act of 1933, as amended, or any
     similar rule then in force; (iii) in a transfer where the Ordinary Shares
     underlying the Warrants being transferred represent two per cent or less of
     the outstanding Ordinary Shares (not including the transfer from the
     Regulated Entity); (v) in a transfer to the Company; (vi) in a transfer to
     an affiliate or such holder or any other Regulated Entity; or (vii) in any
     method of transfer permitted by the Board of Governors of the Federal
     Reserve System of the U.S.

     Once such Regulated Entity holds Warrants and Ordinary Shares which, after
     exercise of the Warrants, would constitute 5.0% or less of the outstanding
     Ordinary Shares, the foregoing restrictions on transfer shall cease to
     apply.

     "Regulated Entity" means (i) any entity that is a "bank holding company"
     (as defined in Section 2(a) of the U.S. Bank Holding Company Act of 1956,
     as amended, (the "BHC Act")) or any non-bank subsidiary of such an entity
     or (ii) any entity that, pursuant to Section 8(a) of the U.S. International
     Banking Act of 1978, as amended, is subject to the provisions of the BHC
     Act or any non-bnak subsidiary of such an entity.

7.   INDEMNIFICATION OF WARRANT AGENT


     (a)  The Warrant Agent shall act as agent of the Company. The Warrant Agent
          shall not, by issuing and delivering Warrant Certificates or by any
          other act be deemed to make any representations as to the validity or
          value of the Warrant Certificates or

                                      -9-

 
          the Warrants represented thereby or of the Ordinary 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
          Subscription Price or to determine whether any fact exists which may
          require any such adjustments.

     (b)  The Warrant Agent shall not (i) be liable for any statement or fact
          contained in this instrument 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 valid and to have been signed or
          presented by the proper party or parties, (ii) be responsible for any
          failure on the part of the Company to comply with any of its covenants
          and obligations contained in this instrument or in the Warrant
          Certificates, or (iii) be liable for any act or omission in connection
          with this Agreement except for its own negligence or wilful
          misconduct.

     (c)  The Warrant Agent may at any time seek legal advice of any solicitors
          (who may be solicitors to 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, instrument, request,
          direction, order or demand.

     (d)  Any notice, statement, instruction, request, direction, order or
          demand of the Company shall be sufficiently evidenced by an instrument
          signed by any Director or its 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.

     (e)  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 fees, for any action taken or omitted
          by the Warrant Agent in the execution of its duties and powers,
          excepting losses, expenses and liabilities arising as a result of the
          Warrant Agent's negligence or wilful misconduct.

8    GENERAL

     (a)  The Company will concurrently with the issue of the same to holders of
          Ordinary Shares send to each holder of a Warrant (or, in the case of
          joint holders, to the first named) a copy of each published annual
          report and accounts of the Company and unaudited interim report of the
          Company together with all documents required by law to be annexed
          thereto, and copies of every statement, notice or circular issued to
          holders of Ordinary Shares.

     (b)  For the purposes of this Warrant Instrument, "business day" means a
          day (excluding Saturdays and public holidays) on which banks in
          England are open for business and an "extraordinary resolution" of a
          series of warrantholders means a resolution proposed at a meeting of
          the Warrant holders in question duly convened and held and passed by a
          majority consisting of not less than three-fourths of the votes cast,

                                      -10-

 
          whether on a show of hands or on a poll. All the provisions of the
          Articles of Association for the time being of the Company as to
          General Meetings shall apply mutatis mutandis as though each series of
          the Warrants formed a separate class of Ordinary Shares forming part
          of the capital of the Company but so that (i) the period of notice
          shall be 21 days at least, (ii) the necessary quorum shall be Warrant
          holders of the relevant series (present in person or by proxy)
          entitled to subscribe for one-third in nominal amount of the Ordinary
          Shares attributable to the then outstanding Warrants of that series,
          (iii) every Warrant holder present in person at any such meeting shall
          be entitled on a show of hands to one vote and every Warrant holder
          present in person or by proxy shall be entitled on a poll to one vote
          for every such Ordinary Share for which he is entitled to subscribe,
          (iv) any Warrant holder present in person or by proxy may demand or
          join in demanding a poll, and (v) if at any adjourned meeting a quorum
          as defined above is not present, a Warrant holder who is then present
          in person or by proxy shall be a quorum.

     (c)  The invalidity of any undertaking, or any part of any undertaking, in
          paragraph 3 shall not affect the validity of any other part of that
          paragraph. If any event occurs which, but for any rule of law, would
          be a breach of paragraph 3, the Company shall pay to the Warrant
          holders such sum as the auditors of the Company shall determine to be
          equal to the loss in value of the Warrants resulting from such event.

     (d)  Any determination or adjustment made pursuant to these terms and
          conditions by the auditors of the Company shall be made by them as
          experts and not arbitrators and shall be final and binding on the
          Company and all Warrant holders.

9.   GOVERNING LAW

     The above terms and conditions shall be construed in accordance with and be
     governed by the laws of England.

                                      -11-