Roster of Confederate Soldiers, 1861-1865 shows:

Galvin, James A. KY 3rd Bn.Mtd.Rifles Co.F

KENTUCKY 3RD CAVALRY BATTALION, MOUNTED RIFLES
AKA: 1ST KENTUCKY MOUNTED RIFLES
Organized with 6 Companies on Nov 29, 1862.
Disbanded by Brigadier General John Echols, commanding Dept of Southwestern Virginia and East Tennessee, at Christianburg, Virginia on April 12, 1865.
Battles:
vs Carter's East TN & SW VA Raid - 12/20/1862-1/5/1863
Snow Hill - 6/4/1863
Everett's Raid into Eastern KY - 6/13-23/1863
Wheeler's Sequatchie Raid - 9-10/1863

For more information you will need his service record which you can obtain from NARA or soldiersearch@ec.rr.com