I THINK: There is a Thomas Pink (1822) and Jane (Ward) Shelnut (1825) Father of your John Pink)that moved to Haralson County from Campbell County in 1850.
John Shelnutt B. 2 Nov. 1798 Franklin County, Ga. 1st son of Andrew and Elizabeth (Gentry) Shelnut, died 8 July 1879.Married 3rd wife Edna _______ Miller Cockran B. (ca. 1810) died, 18 May 1883, near Waco, Haraldson County.
There are many Thomas, Johns and James- they are not always spelled the same in all documents.Give me your thoughts and maybe you can narrow down my search.I will check them out with what I have.