<PAGE>
<TABLE>
<CAPTION>
<S> <C> <C>
+--------+ +---------------------------+
| FORM 4 | U.S. SECURITIES AND EXCHANGE COMMISSION | OMB APPROVAL |
+--------+ WASHINGTON, D.C. 20549 |---------------------------|
[_] Check this box if |CMB Number: 3235-0287|
no longer subject STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP |Expires: September 30, 1998|
to Section 16. |Estimated average burden |
Form 4 or Form 5 Filed pursuant to Section 16(a) of the Securities |hours per response......0.5|
obligations may Exchange Act of 1934, Section 17(a) of the +---------------------------+
continue. See Public Utility Holding Company Act of 1935 or
Instruction 1(b). Section 30(f) of the Investment Company Act of 1940
(Print or Type Responses)
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1. Name and Address of Reporting Person
Burke, Frank, M.
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(Last) (First) (Middle)
5500 Preston Road, Ste 315
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(Street)
Dallas, Texas 75205
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(City) (State) (Zip)
2. Issuer Name and Ticker or Trading Symbol Miller Exploration Company (MEXP)
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3. IRS or Social Security Number of Reporting Person (Voluntary)
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4. Statement for Month/Year April 1999
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5. If Amendment, Date of Original (Month/Year)
---------------------------------
6. Relationship of Reporting Person to Issuer (Check all applicable)
[X] Director [ ] Officer [ ] 10% Owner [ ] Other
(give title below) (specify below)
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7. Individual or Joint/Group Filing (Check applicable Line)
X Form filed by One Reporting Person
--
Form filed by More than One Reporting Person
--
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</TABLE>
TABLE I--NON-DERIVATIVE SECURITIES ACQUIRED, DISPOSED OF, OR BENEFICIALLY OWNED
<TABLE>
<CAPTION>
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1. Title 2. Trans- 3. Trans- 4. Securities Acquired (A) 5. Amount of 6. Owner- 7. Nature
of action action or Disposed of (D) Securities ship of In-
Security Date Code (Instr. 3, 4 and 5) Beneficially Form: direct
(Instr. 3) (Month/ (Instr. 8) Owned at Direct Bene-
Day/ ----------------------------------------------- End of (D) or ficial
Year) Month Indirect Owner-
Code V Amount (A) or Price (Instr. 3 and 4) (I) ship
(D) (Instr. 4) (Instr. 4)
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<S> <C> <C> <C> <C> <C> <C> <C> <C> <C>
Common Stock 4-21-99 P 50,000 A 1.21875 53,000 I *Keough Plan
Common Stock 4-21-99 P 50,000 A 1.21875 59,500 I **
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</TABLE>
* Of these 53,000 shares reported has held indirectly as part of a Keough Plan,
3,000 shares were acquired in February 1998.
** Of these 59,500 shares reported as held indirectly, 56,500 shares are held
by Burke, Mayborn Company Ltd. and 3,000 shares are held by TTC Burke, Ltd.
which are private consulting and investment companies controlled by
Frank M. Burke, Jr.
Reminder: Report on a separate line for each class of securities beneficially
owned directly or indirectly.
* If the form is filed by more than one reporting person, see Instruction
4(b)(v).
Page 1 of 2
SEC 1474 (7-96)
<PAGE>
FORM 4 (continued)
TABLE II--DERIVATIVE SECURITIES ACQUIRED, DISPOSED OF, OR BENEFICIALLY OWNED
(e.g., puts, calls, warrants, options, convertible securities)
<TABLE>
<CAPTION>
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1. Title of Derivative 2. Conver- 3. Trans- 4. Transac- 5. Number of Deriv-
Security (Instr. 3) sion or action tion Code ative Securities
Exercise Date (Instr. 8) Acquired (A) or
Price of (Month/ Disposed of (D)
Deriv- Day/ (Instr. 3, 4, and 5)
ative Year)
Security
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Code V (A) (D)
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<S> <C> <C> <C> <C> <C> <C>
Stock Option (Right to Buy) $8.00 2-9-98 A V 5,000
$8.00 2-9-98 A V 5,000
$8.00 2-9-98 A V 5,000
$8.00 2-9-98 A V 5,000
$8.00 2-9-98 A V 5,000
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</TABLE>
TABLE II--DERIVATIVE SECURITIES ACQUIRED, DISPOSED OF, OR BENEFICIALLY OWNED
(e.g., puts, calls, warrants, options, convertible securities)--CONTINUED
<TABLE>
<CAPTION>
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1. Title of Derivative 6. Date Exer- 7. Title and Amount of 8. Price 9. Number 10. Owner- 11. Na-
Security (Instr. 3) cisable and Underlying Securities of of Deriv- ship ture
Expiration (Instr. 3 and 4) Deriv- ative Form of In-
Date ative Secur- of De- direct
(Month/Day/ Secur- ities rivative Bene-
Year) ity Bene- Secu- ficial
(Instr. ficially rity: Owner-
-------------------------------------------- 5) Owned Direct ship
Date Expira- Amount or at End (D) or (Instr.
Exer- tion Title Number of of Indi- 4)
cisable Date Shares Month rect (1)
(Instr. 4) (Instr. 4)
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<S> <C> <C> <C> <C> <C> <C> <C> <C>
Stock Option (Right to Buy) 2-9-99 2-8-08 Common 5,000 N/A 5,000 D
2-9-00 2-8-08 Common 5,000 N/A 5,000 D
2-9-01 2-8-08 Common 5,000 N/A 5,000 D
2-9-02 2-8-08 Common 5,000 N/A 5,000 D
2-9-03 2-8-08 Common 5,000 N/A 5,000 D
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</TABLE>
Explanation of Responses:
**Intentional misstatements or omissions of facts constitute Federal Criminal
Violations.
See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
Note: File three copies of this Form, one of which must be manually signed.
If space provided is insufficient, see Instruction 6 for procedure.
Potential persons who are to respond to the collection of information contained
in this form are not required to respond unless the form displays a currently
valid OMB Number.
/s/ W.J. Baumgartner May 10, 1999
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**Signature of Reporting Person Date
Frank M. Burke, Jr.
By: William J. Baumgartner,
Attorney-in-Fact
Page 2 of 2
SEC 1474 (7-96)
