After looking thru Dr. Stouts records of Hospitals in his assigned district. Being Cleveland, Tn. to the east Chattanooga, Tn. on the west and Dalton, Ga. to the South.
There were only 466 patients sent outside of the district and in all of the cases they went to Dalton and Atlanta, Ga.
This record is from July of 1862 till Nov. of 1863. with an daily patients 4,300 beds in just the General Hospitals and treating 14,087 cases in this time of all the hospitals in the district encluding Brigade Hospitals, Records also show a total of 836 soldiers who died while in theses hospitals.
Of all I've read in these records, The patient would by Stout's records had to have been well enough to travel to have been moved to another Hospital outside of his current place, Also beds were at a premuim in this time with the sick and wounded.