His file consists of some 17 cards, some too faint to read online. There is no record of him on the muster rolls of the regiment.

It would be best for you to obtain copies of these records which may be procured through a service provided by these message boards, see:

http://history-sites.com/research/

……

This is the best I can discern from the records on-line.

Thomas N. Culbertson, Private, Company A, 16th Georgia Infantry, enlisted February 4, 1862, mustered in March 28, 1862,
died July 29, 1862 at Danville, Va. leaving no wife or children, description on enlistment: age 17, blue eyes, dark hair, fair complexion, his father Isaael [sp?] R. Culbertson filed claim for settlement of his accounts

M266: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Georgia