However, I did find four men with the name Wise who enlisted in West Virginia.
Perhaps you might have a census with their names.
George Martin
E Jacob Wise
Residence Lewisburg WV;
Enlisted on 4/21/1862 at Lewisburg, WV as a Private.
On 4/21/1862 he mustered into "A(2nd)" Co. VA 14th Cavalry
(date and method of discharge not given)
((Carpenter, Lewisburg, Greenbrier County 1870 census.
Jailor, Greenbrier County 1873.)
David S. Wise
Residence was not listed;
Enlisted on 4/21/1862 at Lewisburg, WV as a Private.
On 4/21/1862 he mustered into "A92nd)" Co. VA 14th Cavalry
He was discharged on 10/4/1862
(Furnished a substitute)
E J. Wise
Residence was not listed;
Enlisted on 4/21/1862 at Lewisburg, WV as a Private.
On 4/21/1862 he mustered into "L" Co. VA 8th Cavalry
Later Co. A, 14th Cavalry or Co. A 36th Cavalry
(date and method of discharge not given)
G D. Wise
Residence was not listed;
Enlisted on 4/21/1862 at Lewisburg, WV as a Private.
On 4/21/1862 he mustered into "A(2nd)" Co. VA 14th Cavalry
(date and method of discharge not given)