Looking for information on the Sawyer Family of Tennessee.

I don't have the parents names but I have two brothers; Coston Jesse Sawyer [b 1833] and William Martin Sawyer [b 1834] from Tennessee, they moved to Texas, probably about 1854-1855 as both boys joined the Texas Cavalry CSA about that time.

William's family stated they were from Carroll County, but Coston's military record shows Waite County.

Does anyone have more info on this family?