I am not a Wheat researcher although I do have some interest in the family because of the John Pickney Wheat and Losero M. Dumas marriage.
I have some info that may want to investigate.These are from an index that was created from official records.There are other Ed and Mary Wheats in Texas but these looked like they might be of interest to you.
Edmond T. Wheat Elizabeth Durham 20 Dec 1860 Tyler TX
J.W. Crumpley M.J. Wheat 4 Sep 1862 Henderson TX
B.F. Howell Mary J. Wheat 30 Jan 1873 Tyler TX
James B. Durham Mary J. Wheat 8 Jan 1874 Tyler
There is also a birth recorded as follows:
Mary Hazel Bricault (female) born 1 Feb 1883, Canton, Van Zandt, TX Parents:Jerrimiah Bricault and Mary Wheat