-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
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 SsW81phDiU8sN78R060wCA==

<SEC-DOCUMENT>0001144204-04-014733.txt : 20040920
<SEC-HEADER>0001144204-04-014733.hdr.sgml : 20040920
<ACCEPTANCE-DATETIME>20040920112950
ACCESSION NUMBER:		0001144204-04-014733
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040917
FILED AS OF DATE:		20040920
DATE AS OF CHANGE:		20040920

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			MEXCO ENERGY CORP
		CENTRAL INDEX KEY:			0000066418
		STANDARD INDUSTRIAL CLASSIFICATION:	CRUDE PETROLEUM & NATURAL GAS [1311]
		IRS NUMBER:				840627918
		STATE OF INCORPORATION:			CO
		FISCAL YEAR END:			0331

	BUSINESS ADDRESS:	
		STREET 1:		214 W TEXAS AVENUE
		STREET 2:		SUITE 1101
		CITY:			MIDLAND
		STATE:			TX
		ZIP:			79701
		BUSINESS PHONE:		9156821119

	MAIL ADDRESS:	
		STREET 1:		214 W TEXAS AVENUE
		STREET 2:		SUITE 1101
		CITY:			MIDLAND
		STATE:			TX
		ZIP:			79701

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	MILLER OIL CO
		DATE OF NAME CHANGE:	19800702

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			GRAHAM THOMAS JR
		CENTRAL INDEX KEY:			0001211655

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-31785
		FILM NUMBER:		041036965

	BUSINESS ADDRESS:	
		STREET 1:		7609 GLENBROOK ROAD
		CITY:			BETHESEDA
		STATE:			MD
		ZIP:			20814
		BUSINESS PHONE:		2027452450

	MAIL ADDRESS:	
		STREET 1:		7609 GLENBROOK ROAD
		CITY:			BETHESDA
		STATE:			MD
		ZIP:			20814
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>form4thomasgraham_ex.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-09-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000066418</issuerCik>
        <issuerName>MEXCO ENERGY CORP</issuerName>
        <issuerTradingSymbol>MXC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001211655</rptOwnerCik>
            <rptOwnerName>GRAHAM THOMAS JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>7609 GLENBROOK ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BETHESEDA</rptOwnerCity>
            <rptOwnerState>MD</rptOwnerState>
            <rptOwnerZipCode>20814</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Chairman of the Board</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2004-09-17</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.10</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>116100</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Owned by spouse</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Direct beneficial holdings after the sale total 116,100 shares which include vested options to acquire 37,500 shares of the
 Registrant's Common Stock ($0.50 par value) at the following prices: 10,000 shares @ $7.75 per share, 10,000 shares @ $7.50
 per share, 10,000 shares @ $5.25 per share and 7,500 shares @ $6.75 per share.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Thomas Graham, Jr.</signatureName>
        <signatureDate>2004-09-20</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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