This family is in my database primarily to help distinguish them from the descendants of Minetry Roberts.

1850 census of Morgan Co., Ky, enumerated 2 Sep, lists as family #569:
Hiram Roberts, 37, farmer; Jane, 31; Rachel, 9; James, 7; William, 5; Martha, 3; Mary, 1. Martha and Mary born in Ky, the others in Virginia.

1860 census of Morgan Co., Ky, district 1, enumerated 9 June, lists on p. 17 as family #104/102:
Hiram Roberts, 46, farmer, b. Va; Jane, 39, b. Ky; Rachel, 18; James M., 16; William, 15; Martha, 12; Mary, 10; Isaac, 9; Richard, 7; Amanda, 6; Lucinda, 4; Leander, 2. All children are listed as born in Kentucky, although that conflicts with the 1850 and 1870 censuses.

1870 census of Rowan Co., Ky, Morehead precinct, enumerated 1 July, lists on p. 1 as family #7:
Roberts, Hiram, 57, farmer, b. Va; Jane, 51, b. Va; William, 25, b. Va; Martha, 21; Isaac, 20; Richard, 18; Amanda, 15; Lucinda, 13; Leander, 11; Eliza, 9; Hiram, 7. Martha through Hiram Jr. born in Kentucky.

The next household is James Roberts, age 27, with wife Milly age 21.

1880 census of Rowan Co., Ky, Morehead precinct, enumerated 1 June, lists on p. 11 as family #82/84:
Roberts, Hiram, 66, farmer, b. Va Va Va; Jane, wife, 62, b. Va Va Va; Martha, 33, dau, b. Va Va Va; Hiram, 17, son, b. Ky Va Va.