John,

Here is a list of all Thompson men in the 2nd Georgia Infantry from The Soldiers and Sailors System.

I don't find Appleton P. Thompson.

Thompson, A.J. A Private Private

Thompson, Allen B Private Private

Thompson, Daniel P. B Private Private

Thompson, E. Private Private

Thompson, F.M. H Private Private

Thompson, Walter A. D Second Lieutenant Captain

Thompson, William L Private Private

Thompson, William A. B Private Private

Thanks,
Gary D. Bray