Roster of Confederate Soldiers, 1861-1865, shows:

Simmons, A.B. TN 6th Inf. Co.B Sgt.
Simmons, Elisha M. TN 6th Inf. Co.C
Simmons, J.C. TN 31st Inf. Co.I 1st Lt.
Simmons, P.S. TN 31st Inf. Co.B
Simmons, W.H. TN 31st Inf. Co.B 2nd Lt.