Pvt Co E 2nd Mo Infantry appears on a semi monthly report of the PM 3rd division Army of the Frontier commencing 16th March 1863.
Description 54 years old 5 feet 8 inches with light hair blue eyes light complexion, listed as native of Shannon Co. released on taking oath Mar 29, 1863.
I don't think this is the same Jesse Story as listed above, but may be helpful to eliminate one or the other in searching.
John R