Here are the hospitals recorded for treating Georgia troops. Unfortunately there appear to be no records for any of these hospitals at the National Archives or anywhere else.

Their is a group that has been working on identifying the unknowns at Oakwood Cemetery for some time. I do not know how to access them.

General Hospital #14
Also called: Second Georgia Hospital. Building about same size and shape as General Hospital #11. Opened before June 1862. Report of 7 June 1862 lists 65 patients, but capacity was over 125. Location: westside of 20th, between Main and Franklin Streets. Present site: 20-4-6 North 20th Street.

General Hospital #16
Also called: First Georgia Hospital. Formerly tobacco factory of john E. Whitlock and Company. Destroyed in evacuation fire. Opened before June 1862. Report of 7 June 1862 lists 66 patients, but capacity was over 130. Location: westside of 21st Street; between Main and Cary Streets.

General Hospital #17
Also called: Fourth Georgia Hospital. Formerly tobacco factory of Smith and McCurdey. Destroyed in evacuation fire. Opened 19 May 1862. Report of 7 June 1862 lists 86 patients, but capacity was over 125. Location: westside of 21st Street, between Main and Cary Streets, about mid-block, just north of General Hospital #16.

General Hospital #19
Also called: Third Georgia Hospital. Probably tobacco factory of A. W. Taylor Company. Four-storied, dormer-roofed building. Opened June 1862. Capacity over 75. Closed December 1863. Location: probably southeast corner of 24th and Franklin Streets.

Pleasants and Frazier Factory Hospital
Corner 20th and Franklin Streets. Opened 30 September 1861 for Georgia soldiers, probably an annex to General Hospital #14. Capacity 300.

http://www.mdgorman.com/Hospitals/hospital_index.htm