Not finding anything in Tennessee under this name -- no Confederate service file, no census record for 1860 and no census record for 1850, either.
Also, the 10th Tennessee Cavalry was largely recruited in West Tennessee. Bledsoe and Cumberland are located in the east central part of the state. See the link below --
http://www.tngennet.org/civilwar/csacav/csa10cav.html
Who were the two brothers? Maybe they can be found.