Emily,
In addition to Jim Martin's information, I see from the Roster of the Confederate Soldiers of Georgia, vol. III, pp. 37-44 that T. J. Carver was wounded at Gettysburg on July 2, 1863. His 24th Georgia regiment, in Brig. Gen. William T. Wofford's brigade, advanced late in the day and cleared the famous Wheatfield of Union troops about 7 p.m. At that moment, when the regiment emerged from the woods bordering the western side of the Wheatfield they collided with the Union 4th Michigan regiment and a rare hand-to-hand struggle with bayonets ensued. The Confederates overpowered their adversaries and continued to advance, but just a few minutes later they were forced back by Union reinforcements, in particular the Pennsylvania Reserves and the Sixth Corps at the base of Little Round Top. Since he is not reported as captured it is a good bet that T. J. Carver was wounded early in the fight, either by artillery fire at long range or during the melee with the 4th Michigan, because Wofford's brigade retreated only to the woods on the western edge of the Wheatfield where they spent the night and recovered their wounded up to and near that location. It is not recorded just where and how badly wounded Mr. Carver was on that day.