The other record is for Jesse Wheeler, Co. "H", 1st Alabama Cavalry Regt. It shows Jesse as a patient at Shelby Springs AL during the fall of 1864. This probably should be 5th Alabama Cavalry, as name and company for Jesse Wheeler both match the record for J. J. Wheeler. The clerk who made the entry could easily have misread that part of the hospital record for 1st Mississippi Hospital, which originated in Jackson MS.
During much of 1864 the 5th Alabama Cavalry saw service in Mississippi, north Alabama and Tennessee under General Forrest's command.