The only records on Drury are Federal POW records, there are no company muster reports in his file.
Hope this may help.
George Martin
Drury F. Rogers
Enlisted as a Private
"C" Co. KY 3rd Cavalry
captured near Elizabethtown, Ky, December 18, 1864, sent to Camp Chase,Ohio December 31, 1864, subscribed to Oath of Allegiance to the US at Champ Chase June 12, 1865, resident of Trigg County, Kentucky, fair complexion, dark hair, blue eyes, 5' 9", age 23
...............
D F. Rogers
Enlisted on 7/23/1862 at Vicksburg, MS as a Private.
On 7/23/1862 he mustered into "C" Co. KY 3rd [Mounted] Infantry
enlisted July 23, 1862 at Vicksburg, Mississippi, wounded in ankle at the Battle of Baton Rouge, Louisiana August 5, 1862, recorded sick in hospital from May 25, through June 1864, no further records