Pick up a copy of "The First Georgia Cavalry in the Civil War-A History and Roster" by Michael Bowers Cavender. It states: Joseph S. Hamon, Cpl. Co. G. enlisted at Clinton, Tennessee Oct. 1862. Present thru Dec. 1862. Sick in Clinton, Tennessee Hospital Feb. 1863. Absent thru Dec. 1863 on Sick Furlough. Captured near Atlanta, Georgia July 21, 1864. Sent to Chattanooga, Tennessee then Nashville, Tennessee July 29, 1864 then Louisville, Kentucky July 31, 1864 then Camp Chase, Ohio Aug. 2, 1864. Then on to City Point, Va. March 4, 1865 to be exchanged. Died Dec. 5, 1928 and buried in Elizabethtown City Cemetery, Hardin County, Kentucky.
Hope this helps. Tim