My best guess is that individuals were assigned to a hospital nearest to the point where they were assigned on the siege line.
I say that as all 53 men of the 43rd Tennessee were on the July 24th shipment, this would not, I believe, had been the case if they had been
separated in various hospital. I would believe that hospitals were emptied one by one for transfer by steamer to Mobile.
G. W. Capps, 43rd Alabama, parole signed July 15, his name appears on a roll, dated July 16, of sick in Washington Hosp., CSA, paroled at Vicksburg. His name appears on a list of those received off Fort Morgan July 22, 1863, of U. S. Steamer Suffolk, 21 officers and 181 Confederate Soldiers
Smith, John M, Private, Company G, 37th Alabama Infantry
Enlisted 8 Apr 1862 at Loachapoka; WIA or sick at Vicksburg MS as he signed his parole there on 13 July 1862 while in City Hospital as a Private of Company G of the 37th AL Infantry CSA, and died at New Orleans LA 27 July 1863 while aboard U.S. steamer H. Chouteau en route to Mobile Bay AL; Buried 28 July 1863 at Cypress Grove Cem., No. 2, at New Orleans, Orleans Parish LA