The American Civil War Research Database, a subscription service, records 33 men of the battalion at:

http://www.civilwardata.com/active/hdsquery.dll?Muster?1721&C

If you cannot access, identify the men you're looking for and I can check the roster

I doubt that this list contains all the men of the battalion. Just a few officers are listed, only one of the Field & Staff, Major Eugene F. Falconnet

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Colonel James C. Malone Jr.’s records are found under the 9th (Malone’s) Cavalry

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14th AL Cavalry Battalion
Organized: on 12/31/62 Mustered Out: 4/15/63

December 1862 to March 1863, assigned to Wharton’s Brigade
March 1863 to April 1863, assigned to Crew’s Brigade