Sometimes you have to experiment with the spelling as the person filling out their records way back didn't always spell it like it was supposed to be. Here are three to include yours from the Gerdes site.

36 Ark Inf Co E.

BILLINGSLY, J.N.A. Pvt - Age 22. Enl 26 Jun 1862 at Springfield, AR. Present 31 Aug 1863.

BILLINGSLY, S.E. Pvt - Age 32. Enl 16 Jun 1862 at Searcy, AR.

BILLINGSLY, S.M. Pvt - Age 24. Enl 16 Jun 1862 at Searcy, AR. Former member of 14th AR Regt.