Dear Ms. Davis -
I suspect the one you are looking for is Nathan L. Davis, 13th Texas Cavalry, Company A. There is a William Wade in the 22nd Texas Cavalry, (also Walker's division), but no entry with the proper middle initial or name. Company A was recruited in Leon, Madison, and Polk counties in the Trinity River valley. My records indicate Davis was 22 when he enlisted, and last appears in a muster just before the Red River campaign in February 1864.