I could not find a Wiley, however I found William Chandler in Randall's 28th Texas CAVALRY. This is all there is in his file.
George Martin
William Chandler, Private "E" Co. TX 28th Cavalry, enlisted July 12, 1862, at Shreveport, Louisiana, absent without leave and dropped from the rolls sometime prior to September 1863, March 1864 absent sick at camp