Assignment of Thomas Jackson Cathey as son of Alexander Cathey and Ann Eliza Hailey is circumstantial. The only evidence is that the 1880 Census of Tate Co MS included a son Jack Cathey in the family of Alexander and Ann Eliza Cathey.

1910 Census of Tate Co MS
Household Members Age Relationship
Thomas J Cathey 38 Head
Donnie Cathey 34 Wife
Marie Cathey 13 Daughter
Imogen Cathey 6 Daughter
Oliver Cathey 3 Son
Alice Cathey 1 Daughter

1920 Census of Tate Co MS
Household Members Age Relationship
Thomas J Cathey 46 Head
Donnie Cathey 42 Wife
Imogene Cathey 16 Daughter
Oliver E Cathey 13 Son
Alice Cathey 10 Daughter
Lucy Cathey 34 Sister
Lou Ella Atkins 24 Boarder