1850 census of Lewis Co., Ky, enumerated 29 Aug, lists as family #481:
Moses Logan, 33, farmer; Hetty, 34; William L., 12; Andrew J., 9; Sarah A., 7; Louisa J., 5; Alcami L., 2; Thomas J., 4/12. All born in Ky. (Ages are supposed to be as of June 1, 1850.)

1860 census of Lewis Co., Ky, enumerated 13 Aug, lists on p. 183 as family #1339:
Moses Logan, 43, farmer; Creen, 43; William L., 22; Andrew J., 20; Sarah A., 18; Louisa J., 15; Alcanaan J., 13; Thomas J., 12; Lucinda A., 7. All born in Ky.

1870 census of Lewis Co., Ky, Laurel precinct, enumerated 1 Sep, lists on p. 9 as family #61:
Logan, Ester, 54; Andrew J., 29, farmer; Louisa, 25; Thos J., 19; Lucinda, 16. All born in Ky.

1880 census of Lewis Co., Ky, Laurel precinct, enumerated 8 June, lists on p. 3 as family #94/96:
Logan, Thomas J., 31; Percilla, 24, wife; Queen, 68, mother; Bruce, 4, son; Wilson, 2, son. All born Ky Ky Ky.

The preceding household is headed by Jackson Logan, age 40, apparently the Andrew J. listed with this family in the 1850 through 1870 censuses.