Sam,
Go to the National Park Service's "Civil War Soldiers and Sailors System" at:
http://www.itd.nps.gov/cwss/regiments.htm
Just fill in the blanks, and it will give you an alphabetical listing of all men in the unit. It gave this general info:
CONFEDERATE GEORGIA TROOPS
3rd Regiment, Georgia Cavalry
3rd Cavalry Regiment was organized by Colonel M. J. Crawford and mustered into Confederate service at Athens, Georgia, during the early summer of 1862. Some of the men were from Rabun, Whitfield, and Cherokee counties. It fought in Kentucky with General Wheeler, but at New Haven most of the unit was captured. A detachment saw action at Murfreesboro and after those captured were exchanged, the command was assigned to J.J. Morrison's, C.C. Crews', and Iverson's Brigade. It participated in the campaigns of Chickamauga, Chattanooga, Knoxville, and Atlanta, was involved in Northern Alabama and Georgia, and in 1865 participated in various conflicts in the Carolinas. On April 26, 1865, it surrendered with the Army of Tennessee. Their field officers were Colonels Martin J. Crawford, Richard E. Kennon, and Robert Thompson; Lieutenant Colonel James T. Thornton; and Majors Daniel F. Booton and Hiram H. Johnson.