1900 census Fannin Co, TX:
Morris, James P., hd, b Oct 1855, 44, M 15 yrs, b AL, AL, AL
" Fredonia, w, b Feb 1854, 46, M 15 yrs, 9 ch, 7 lvg, b TN, NC, TN
" Ida, d, b Jun 1886, 13, b TX
" Minnie, d, b may 1889, 11, b TX
" Maud, d, b Jan 1892, 8, b TX
" Belle, d, b Jun 1894, 5, b TX
" Pearl, d, b jan 1897, 3, b TX
[James rents farm, listed as farmer]
1910 census Grayson Co, TX:
Morris, James P., hd, 54, M(2) 30 yrs, b U.S., U.S., U.S.
" Fredonia D., w, 56 M(2) 30 yrs, b TN, U.S., U.S.
" Belle B., d, 15, b TX
" Pearl L., d, 13, b TX
" James O., s, 7, b TX
[James, rents house, Preacher, Baptist]
1920 census Fannin Co:
Morris, James P., hd, 65, Md, b TX, France, England
" Fredonia, w, 65, Md, b TN, NC, TN
" Pearl, d, 22, sgl, b TX
[James rents farm, farmer.Pearl is a teacher.]
This may be your Fredonia Smith.1880 census Montgomery Co, TN:
Category: Name;Relationship to head of household; Marital Status; Gender; Race; Age; Birthplace; Occupation; Father's Birthplace; Mother's Birthplace.
Elizabeth SMITHWifeMFemaleW54TNKeeping HouseTNTN
Asaminta SMITHDauSFemaleW28TNAt HomeTNTN
Fredonia SMITHDauSFemaleW22TNAt HomeTNTN
Beldora SMITHDauSFemaleW20TNAt HomeTNTN
You might check out land and probate records for William, see if Fredonia shows up as an heir, hopefully after she marries as that would be your proof of the tie to this Smith family.
Happy Hunting (^_^)