His advanced age probably kept him out of the service. He was 47 in 1860, and residing in Pope County.

These are the only ones I found:

John Massey, Co. C, 15th AR INF, died 22 Mar 1862
J.C. Massey, Co. A, 38th AR INF was from Lawrence County
J.C. Massey, Co. C, 14th (Power’s) AR INF, was from Marion County