Rick, Conway County contributed a lot of soldiers to each side in the Civil War. Quite a few members of the 3rd Arkansas Cavalry, U.S. Volunteers, were from Conway County. On the Confederate side, here are some of the companies recruited in Conway County --

Co. I, 1st Arkansas Mounted Rifles
Co. I, 3rd Arkansas Cavalry
Co. B, 4th Arkansas Cavalry
Co. E, 5th Arkansas Cavalry
Co. B, 10th Arkansas Infantry
Co. E, 10th Arkansas Infantry
Co. F, 10th Arkansas Infantry
Co. I, 10th Arkansas Infantry
Co. K, 10th Arkansas Infantry
Co. A, 17th (Lemoyne's) Arkansas Infantry
Co. B, 17th (Lemoyne's) Arkansas Infantry
Co. C, 31st Arkansas Infantry
Co. G, 31st Arkansas Infantry
Co. F, 36th Arkansas Infantry
Co. I, 36th Arkansas Infantry