Here is total list of those men with the surnames you seek that were in the 3rd Arkansas Cavalry.

George Martin

Benjamin F. Bass
Residence was not listed;
Enlisted as a Private (date unknown)
"A" Co. AR 3rd Cavalry

James M. Bass
Residence was not listed;
Enlisted as a Private (date unknown).
"A" Co. AR 3rd Cavalry

William J. Bass
Residence was not listed;
Enlisted as a Captain (date unknown).
"D" Co. AR 3rd Cavalry

R A. Bethel
Residence was not listed;
Enlisted as a Private (date unknown).
"A" Co. AR 3rd Cavalry

R H. Bethel
Residence was not listed;
Enlisted as a Asst Surgeon (date unknown).
Field & Staff AR 3rd Cavalry