I was concentrating on Frenchs in Falls Co, TX, but went back and looked for other Spears.I think I found widowed mother of your Leathy Ann.The family is from TN.
1870 census Falls Co, TX:
Jones, Angeline, 38, b TN Spears, Ann, 18, b TN(probably your Leathy Ann) " Alfred, 13, b TN " ______, 12, b TN (female) Jones, Amanda, 6, b TX
3 pages away:
Spears, Nathan, 20, b TN " Elinore, 20, b LA " Jane, 2/12 b TX -- b April French, George, 24, b AR
Your George probably met Ann Spears through Nathan, who probably was her brother.Looks like their mother was widowed, remarried then widowed again.Ann and George probably married soon after this census, and they could have had their first son in 1871 there in Falls Co, TX.
Do you have the name of a county/counties in AR where your grandmother was born, orher mother died?(^_^)