Probably the Preston Link listed as a boarder, age 8, in the 1880 census of Morgan Co. with the family of Bluford Elliott, who was a son of Lizzie’s sister Mary Ann Pettit and thus Preston’s first cousin.

1900 census of Morgan Co., Ky, District 6, enumerated 5 June, lists on p. 4B as family #67/68:
John L. Link, 64, b. July 1835, Ky/Pa/Ky; wife Nancy, 17, b. Sept 1882, Ky/Ky/Ky, married 0 years, mother of 0 children; son David H., 12, July 1887, Ky/Ky/Ky; boarder Preston Petitt, 26, Nov 1873, Ky/Ky/Ky.