Not much help but with the stepchildren listed, Thursa? may have been married to the father of Alphonso Skaggs, prior to Mr. Young and James Cox? And Henry may be Tom H.
U S Census, 1900 ED 41 Magisterial District 4 Flat Gap village, Johnson, KY
Citing this Record "United States Census, 1900," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/M94B-BW9
head James M Cox M 25 KY married 3 yrs
wife Thursa Cox F 30 1870 KY
son William G Cox M 2 Apr 1898 KY
stepson Alonzo Skaggs M 15 March 1885 KY
stepson Tom H Young M 13 Apr 1887 KY
stepson Jay Young M 12 Mar 1888 KY
stepdau Cora Young F 7 Oct 1893 KY