I ran across Corcoran's Regt when doing the look up for a B.F. Jones, see:
I stumbled across it and think it may tie back to the 12th Mo Cavalry
B.F Hogue as Harvey points out served in the the 10th Arkansas Infantry.
Thomas R. Duncan has a number of listings in Arkansas Units.
Clearly there are two entries in the CWSS system with film roll references to the unit. Not sure what to make of it at this stage though it may have been as much an Arkansas Unit as a Missouri one...