1870 census of Putnam Co., Indiana, Floyd township, Bainbridge P.O., enumerated 27 June, lists on p. 13 as family #97/92:
Cox, Henry, 29, farmer, b. Ky; Marth, 31, b. Ky; David, 12, b. Ind; Nancy, 8, b. Ind; James, 5, b. Ind; Elizabeth, 2, b. Ind.

1880 census of Putnam Co., Indiana, Warren township, enumerated 11 June, lists on p. 15 as family #132/137:
Cox, Henry, 39, b. Ky Va Va, works on railroad; Sarrah, wife, 23, b. Ky Va N.C.; Elizabeth, 12, dau, b. Ind Ky Ky; Harvey, 16, son, b. Ind Ky Ky; Edgar, 3, son, b. Ind Ky Ky; Frasier, Elisabeth, 24, sister in law, b. Ky Va N.C., Richard, 27, boarder, b. Ky Va N.C.; Eva, 11, dau, b. Ky Ky Ky.

1900 census of Putnam Co., Indiana, Greencastle ward 1, enumerated 8 June, lists on p. 9A as family #224/230:
Cox, Henry H., 57, b. Aug 1842, Ky Ky Ky, day laborer; Sarah M., wife, 43, b. May 1857, Ky S.C. S.C.; Edgar, son, 23, b. April 1877; Fredrick, son, 19, b. Jan 1881; Henry H., son, 14, b. Jan 1885.

Based on earlier census readings, Aug 1840 is more likely for Henry than Aug 1842.