CARTER, WILLIAM R. Sgt Age 23. Enl 6Jul1861 at Jacksonport, AR. Wounded 19Sep1863 at Chickamauga, GA. Took oath 20Jan1865 at Franklin, TN. Ht 5' 10 1/2", eyes hazel, hair blk, complx dark, residence: Randolph Co, AR.
As for his second wound, there are plenty of options for when it may have occured. I can eliminate Murfreesboro for you as he is not listed among the casualties by Colonel Kelly.