Andrew --

You've probably already seen these. At any rate, here are the closest matches under the name DeGraffenried or DeGraffenreid for soldiers belonging to Confederate units which fought at Chickamauga:

1) Tignal D., Co. "H", 55^th Tennessee Regiment,
2) Tschamer, Co. "I", 16^th Alabama Regiment,
3) Thomas T., Co. "B", 5^th Texas Regiment.