UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D. C. 20549

                                    Form 10-Q

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

                  For the Quarterly Period Ended March 31, 1999

      [ ]         TRANSITION REPORT PURSUANT TO SECTION 13 or 15(d) OF THE
                  SECURITIES EXCHANGE ACT OF 1934

                         Commission File Number 0-11311


                         MAY DRILLING PARTNERSHIP 1983-1
                         MAY LIMITED PARTNERSHIP 1983-1
             (Exact name of registrant as specified in its charter)


                                                                      75-1896224
             Texas                                                    75-1896223
  (State or other jurisdiction of                               (I.R.S. Employer
  incorporation or organization)                          Identification Number)

  4582 South Ulster Street Parkway
             Suite 1700
          Denver, Colorado                                                 80237
  (Address of principal executive offices)                            (Zip Code)

       Registrant's telephone number, including area code: (303) 850-7373

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














<PAGE>
<TABLE>
<CAPTION>


                         MAY DRILLING PARTNERSHIP 1983-1
                     STATEMENTS OF NET ASSETS IN LIQUIDATION
                                   (Unaudited)
                                 (In thousands)



                                                                                March 31,                December 31,
                                                                                   1999                      1998

ASSETS
<S>                                                                               <C>                       <C>  
Investment in May Limited Partnership 1983-1                                      $ 109                     $ 149
                                                                                   ====                      ====



NET ASSETS IN LIQUIDATION                                                         $ 109                     $ 149
                                                                                   ====                      ====
</TABLE>






NOTE:      The statements of operations,  changes in net assets in  liquidation,
           and cash flows for May Drilling  Partnership 1983-1 are not presented
           because such  information is equal to the limited  partner's share of
           such  activity as  presented  in the May Limited  Partnership  1983-1
           financial  statements.  The  May  Drilling  Partnership  carries  its
           investment in May Limited  Partnership  1983-1 on the equity  method.
           The May Limited  Partnership  1983-1 financial  statements  should be
           read  in  conjunction   with  these   statements  of  net  assets  in
           liquidation.  The May Limited Partnership 1983-1 changed its basis of
           accounting  from the going  concern  basis to the  liquidation  basis
           effective  December 31, 1998 as described in Note 1 to the  financial
           statements.

























                The accompanying note is an integral part of the
                             financial statements.


<PAGE>
<TABLE>
<CAPTION>


                         MAY LIMITED PARTNERSHIP 1983-1
                     STATEMENTS OF NET ASSETS IN LIQUIDATION
                                   (Unaudited)
                                 (In thousands)



                                                                       March 31,              December 31,
                                                                         1999                     1998

ASSETS
<S>                                                                      <C>                    <C>    
    Cash and cash equivalents                                            $   112                $   164
    Accrued oil and gas sales                                                 32                     35
    Due from affiliate                                                         8                     13
    Prepaid expenses                                                           2                      8

OIL AND GAS PROPERTIES
    At estimated net realizable value                                        515                    515
                                                                          ------                 ------

TOTAL ASSETS                                                                 669                    735
                                                                          ------                 ------

LIABILITIES
    Accounts payable and accrued liabilities                                  10                     18
    Deferred appreciated gain on oil and gas properties                      338                    335
                                                                          ------                 ------

NET ASSETS IN LIQUIDATION                                                $   321                $   382
                                                                          ======                 ======
</TABLE>





























                The accompanying note is an integral part of the
                             financial statements.


<PAGE>

<TABLE>
<CAPTION>

                         MAY LIMITED PARTNERSHIP 1983-1
            STATEMENT OF CHANGES IN NET ASSETS IN LIQUIDATION FOR THE
                        THREE MONTHS ENDED MARCH 31, 1999
      AND STATEMENT OF OPERATIONS FOR THE THREE MONTHS ENDED MARCH 31, 1998
                                   (Unaudited)
                   (In thousands, except for unit information)


                                                                         1999                       1998
                                                                         ----                       ----

REVENUES
<S>                                                                   <C>                        <C>     
   Gas revenue                                                        $     48                   $     63
   Oil revenue                                                               5                          6
   Interest                                                                  2                          2
                                                                      --------                   --------
         Total                                                              55                         71
                                                                       -------                    -------

COSTS AND EXPENSES
   Lease operating                                                           9                          9
   General and administrative                                               15                         15
   Depletion                                                                11                         11
   Professional services and other                                           3                          3
                                                                      --------                   --------
         Total                                                              38                         38
                                                                       -------                    -------

NET INCOME FROM OPERATIONS                                                  17                   $     33
                                                                                                  =======

NET ASSETS IN LIQUIDATION,
   BEGINNING OF PERIOD                                                     382

DISTRIBUTIONS TO PARTNERS                                                  (78)

NET ASSETS IN LIQUIDATION,
   END OF PERIOD                                                       $   321
                                                                        ======

ALLOCATION OF NET INCOME:

    General Partner                                                                              $     18
                                                                                                  =======

    Limited Partner                                                                              $     15
                                                                                                  =======

       Per initial $1,000 limited partner
         investment                                                                               $  3.18
                                                                                                   ======

       Weighted average initial $1,000 limited
         partner investment units outstanding                                                       4,713
</TABLE>











                The accompanying note is an integral part of the
                             financial statements.


<PAGE>

<TABLE>
<CAPTION>

                         MAY LIMITED PARTNERSHIP 1983-1
                             STATEMENT OF CASH FLOWS
                    FOR THE THREE MONTHS ENDED MARCH 31, 1998
                                   (Unaudited)
                                 (In thousands)



OPERATING ACTIVITIES:
<S>                                                                                                <C>    
    Net income                                                                                     $    33
    Adjustment to reconcile net income to
       net cash provided by operating activities:
              Depletion                                                                                 11

Changes in assets and liabilities provided (used) cash:
    Accrued oil and gas sales                                                                            9
    Due from affiliate                                                                                   7
    Accounts payable and accrued liabilities                                                            (7)
                                                                                                   -------
              Net cash provided by operating activities                                                 53
                                                                                                    ------

INVESTING ACTIVITIES -
    Additions to oil and gas properties                                                                 (3)
                                                                                                   -------

FINANCING ACTIVITIES -
    Distributions to partners                                                                          (83)

NET DECREASE IN CASH AND CASH EQUIVALENTS
                                                                                                       (33)

CASH AND CASH EQUIVALENTS:
    Balance, beginning of period                                                                       163

    Balance, end of period                                                                         $   130
                                                                                                    ======
</TABLE>






















                The accompanying note is an integral part of the
                             financial statements.


<PAGE>


                         MAY LIMITED PARTNERSHIP 1983-1
                          NOTE TO FINANCIAL STATEMENTS
                                   (Unaudited)



NOTE 1    -   GENERAL

The financial  statements  presented are those of May Limited Partnership 1983-1
(the "Partnership").  The interim financial data are unaudited;  however, in the
opinion of the general  partner,  the  interim  data  include  all  adjustments,
consisting  only  of  normal  recurring   adjustments,   necessary  for  a  fair
presentation of the results for the interim periods.  These financial statements
should be read in  conjunction  with the financial  statements and notes thereto
included in the Partnership's December 31, 1998 Annual Report on Form 10-K.

The terms of the partnership  agreements  governing the General  Partnership and
the Limited  Partnership  provide  for a fifteen  year term of  existence  which
extends through May 31, 1998. The  partnerships are expected to be liquidated in
1999. As a result, the General  Partnership and the Limited  Partnership changed
their basis of accounting from the going concern basis to the liquidation  basis
effective December 31, 1998.  Accordingly,  assets have been valued at estimated
realizable value, net of estimated  disposition costs, and liabilities have been
adjusted to estimated settlement amounts, as follows (in thousands):
<TABLE>
<CAPTION>

                                                                    1999             1998
                                                                    ----             ----

<S>                                                                <C>              <C>  
Appreciation of oil and gas properties                             $ 338            $ 335
Deferral of appreciated gain on oil and gas properties              (338)            (335)
</TABLE>

The Company has received a fair market value appraisal of its  properties.  When
the  appraised  value is compared to the  historical  net carrying  value of the
Limited  Partnership's  oil and gas  properties,  there  is an  appreciation  of
$338,000 and  $335,000 at March 31, 1999 and  December  31, 1998,  respectively.
Because of the inherent uncertainty about the timing and amount of the gain that
may  ultimately be realized,  such estimated gain has been deferred at March 31,
1999 and December 31, 1998.

Upon  completion of the liquidation  process and settlement of all  liabilities,
the  General  Partnership  will  distribute  the  remaining  cash to the General
Partnership  and  Limited  Partnership  in  accordance  with  the  terms  of the
partnership agreements.

The  statements of  operations,  and cash flows of the Limited  Partnership  for
three months ended March 31, 1998 have been prepared using the  historical  cost
(going  concern)  basis of accounting on which the General  Partnership  and the
Limited  Partnership  had  previously  reported  their  financial  condition and
results of operations.

After giving further consideration to the alternatives available for liquidation
of the  partnerships,  and in  accordance  with  the  terms  of the  partnership
agreement,  the general  partner has  determined to distribute to each partner a
pro rata  share  of the  assets  of the  partnership.  The  general  partner  is
currently in the process of preparing a final  accounting  and  determining  the
capital accounts of the partners.  As a liquidating  distribution,  each partner
will  receive  (i) an  assignment  of a direct  working  interest  in the leases
associated  with the eight wells in which the  partnership  has an interest  and
(ii) a distribution  of cash remaining  after payment of all  obligations of the
partnership.  The general partner anticipates that the liquidating  distribution
will be made prior to July 30, 1999. A final 1999 Schedule K-1 will be generated
within 90 days after the payment of the liquidating distribution.


<PAGE>


ITEM 2    -  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND 
             RESULTS OF OPERATIONS
             

Liquidity and Capital Resources

The  Partnership  distributed  $78,000 to partners during the three months ended
March 31,  1999.  A  distribution  payable to partners of record as of March 31,
1999 was  declared in April 1999.  The  distribution  amount is $70,000  payable
$40,250 to May Drilling  Partnership  1983-1 partners and $29,750 to the general
partner.

Issues Related to the Year 2000

Although the Limited  Partnership  will most likely be  liquidated  prior to the
Year  2000,  it is  continuing  to pursue  its Year 2000 Plan so that it will be
prepared, if necessary, to address Year 2000 problems.

General.  The following  Year 2000  statements  constitute a Year 2000 Readiness
Disclosure  within  the  meaning  of the Year  2000  Information  and  Readiness
Disclosure  Act of 1998.  The Year 2000 problem has arisen because many existing
computer  programs  use only the last two digits to refer to a year.  Therefore,
these  computer  programs do not properly  recognize and process date  sensitive
information  beyond  1999.  In  general,  there  are two areas  where  Year 2000
problems may exist for the Limited Partnership:  information  technology such as
computers,  programs and related systems ("IT") and  non-information  technology
systems such as embedded technology on a silicon chip ("Non IT").

The Plan. The Limited Partnership's Year 2000 Plan (the "Plan") has four phases:
(i) assessment,  (ii) inventory,  (iii) remediation,  testing and implementation
and (iv)  contingency  plans.  Approximately  twelve  months  ago,  the  Limited
Partnership  began  its phase  one  assessment  of its  particular  exposure  to
problems that might arise as a result of the new millennium.  The assessment and
inventory  plans  have  been  substantially  completed  and  have  assessed  and
identified  the Limited  Partnership IT systems that must be updated or replaced
in order to be Year 2000  compliant.  In  particular,  the software  used by the
Limited  Partnership  for  reservoir  engineering  must be updated or  replaced.
Remediation,  testing and  implementation  are scheduled to be completed by June
30,  1999,  and the  contingency  plans  phase  of the Plan is  scheduled  to be
completed by September 30, 1999.

To date, the Limited  Partnership  has determined that its IT systems are either
compliant or can be made compliant without material cost.  However,  the effects
of  the  Year  2000  problem  on IT  systems  are  exacerbated  because  of  the
interdependence   of  computer  systems  in  the  United  States.   The  Limited
Partnership's  assessment  of the  readiness of third  parties  whose IT systems
might  have an impact on the  Limited  Partnership's  business  has thus far not
indicated any material  problems;  the process of inquiring of third parties and
reviewing their responses is underway but is not complete.

With regard to the Limited Partnership's Non IT systems, the Limited Partnership
believes that most of these systems can be brought into  compliance on schedule.
The  Limited  Partnership's  assessment  of  third  party  readiness  is not yet
completed.  Because  Non IT systems  are  embedded  chips,  it is  difficult  to
determine with complete accuracy where all such systems are located.  As part of
its Plan, the Limited Partnership is making formal and informal inquiries of its
vendors,  customers and  transporters  in an effort to determine the third party
systems that might have embedded technology requiring remediation.

Estimated  Costs.  Although  it is  difficult  to  estimate  the total  costs of
implementing  the  Plan  through  January  1,  2000  and  beyond,   the  Limited
Partnership's  preliminary  estimate  is that such costs  will not be  material.
However,  although management believes that its estimates are reasonable,  there
can be no  assurance,  for the reasons  stated in the next  paragraph,  that the
actual  cost of  implementing  the Plan  will  not  differ  materially  from the
estimated costs.



<PAGE>


Potential  Risks.  The  failure to correct a material  Year 2000  problem  could
result  in  an  interruption  in,  or a  failure  of,  certain  normal  business
activities or operations.  This risk exists both as to the Limited Partnership's
IT and Non IT systems, as well as to the systems of third parties. Such failures
could  materially  and  adversely  affect the Limited  Partnership's  results of
operations,  cash flow and financial  condition.  Due to the general uncertainty
inherent in the Year 2000 problem, resulting in part from the uncertainty of the
Year 2000  readiness of third party  suppliers,  vendors and  transporters,  the
Limited Partnership is unable to determine at this time whether the consequences
of Year 2000 failures will have a material  impact on the Limited  Partnership's
results of operations,  cash flow or financial  condition.  Although the Limited
Partnership  is not currently  able to determine the  consequences  of Year 2000
failures,  its current assessment is that its area of greatest potential risk is
in connection with the transporting and marketing of the oil and gas produced by
the Limited  Partnership.  The Limited  Partnership  is  contacting  the various
purchasers  and  pipelines  with which it regularly  does  business to determine
their state of readiness for the Year 2000. The Limited  Partnership's Year 2000
Plan is expected to  significantly  reduce the  Limited  Partnership's  level of
uncertainty  about the compliance and readiness of these material third parties.
The  evaluation  of  third  party  readiness  will be  followed  by the  Limited
Partnership's development of contingency plans.

Cautionary Statement Regarding Forward-Looking Statements

In the interest of providing the partners with certain information regarding the
Limited Partnership's future plans and operations,  certain statements set forth
in this Form 10-Q  relate to  management's  future  plans and  objectives.  Such
statements  are   forward-looking   statements.   Although  any  forward-looking
statements contained in this Form 10-Q or otherwise expressed by or on behalf of
the  Limited  Partnership  are,  to the  knowledge  and in the  judgment  of the
officers and directors of the general  partner,  expected to prove true and come
to pass,  management is not able to predict the future with absolute  certainty.
Forward-looking  statements  involve known and unknown  risks and  uncertainties
which may cause the  Limited  Partnership's  actual  performance  and  financial
results in future periods to differ materially from any projection,  estimate or
forecasted result.  These risks and uncertainties  include,  among other things,
volatility  of oil and gas prices,  competition,  risks  inherent in the Limited
Partnership's  oil and gas operations,  the inexact nature of  interpretation of
seismic  and other  geological  and  geophysical  data,  imprecision  of reserve
estimates,  the Limited  Partnership's ability to replace and expand oil and gas
reserves, and such other risks and uncertainties  described from time to time in
the Limited  Partnership's  periodic reports and filings with the Securities and
Exchange Commission.  In addition, the dates for completion of the phases of the
Year 2000 Plan are based on the Limited Partnership's best estimates, which were
derived  using  numerous  assumptions  of  future  events.  Due to  the  general
uncertainty  inherent  in the Year  2000  problem,  resulting  in part  from the
uncertainty of the Year 2000 readiness of third-parties and the  interconnection
of computer systems, the Limited Partnership cannot ensure its ability to timely
and  cost-effectively  resolve problems associated with the Year 2000 issue that
may affect its operations and business. Accordingly, partners are cautioned that
certain events or circumstances  could cause actual results to differ materially
from those projected, estimated or predicted.

Results of Operations

First Quarter 1999 Compared to First Quarter 1998

Gas Revenue

Gas revenue  decreased  $15,000 during the first quarter of 1999 compared to the
first  quarter of 1998 due to a decrease in price and a decrease in  production.
The average gas price  decreased  from $2.42 per mcf in 1998 to $1.91 per mcf in
1999. Gas production decreased 3% primarily due to normal production declines.

Oil Revenue

Oil revenue  decreased  $1,000  during the first quarter of 1999 compared to the
first quarter of 1998. The average oil price decreased from $16.12 per barrel in
1998 to $11.19 per barrel in 1999.  The price decline was partially  offset by a
19% increase in production  resulting from workover procedures  performed during
1998.


<PAGE>


Lease Operating

Lease operating  expense  remained  consistent  during the first quarter of 1999
compared to the first  quarter of 1998  primarily  due to  decreased  production
taxes related to the decreased oil and gas revenue  discussed  above,  offset by
increased operating expenses.



<PAGE>


PART II -    OTHER INFORMATION


ITEM 1 -     LEGAL PROCEEDINGS

             Reference  is made to Item 8 - Note 4 of  Form  10-K  for the  year
             ended December 31, 1998.


ITEM 2 -     CHANGES IN SECURITIES

             None.


ITEM 3 -     DEFAULTS UPON SENIOR SECURITIES

             None.


ITEM 4 -     SUBMISSION OF MATTERS TO A VOTE OF SECURITY HOLDERS
             
             None.


ITEM 5 -     OTHER INFORMATION

             None.


ITEM 6 -     EXHIBITS AND REPORTS ON FORM 8-K

             None.



<PAGE>


SIGNATURE

Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
Partnerships  have duly caused  this report to be signed on their  behalf by the
undersigned, thereunto duly authorized.


                                             MAY DRILLING PARTNERSHIP 1983-1
                                             MAY LIMITED PARTNERSHIP 1983-1

                                             By:  EDP OPERATING, LTD.,
                                                   General Partner

                                                  By:  HEPGP Ltd.,
                                                       General Partner

                                                  By:  HALLWOOD G. P., INC.,
                                                       General Partner



Date:  May 11, 1999                               By:  /s/Thomas J. Jung
                                                  Thomas J. Jung, Vice President
                                                  (Principal Accounting Officer)