1870 census of Menifee Co., Ky, Beaver precinct, Rock House P. O., enumerated 18 July, lists on p. 7 (handwritten), p. 422 (stamped/microfilm), as family #42/62:
Cassity, William, 45, farmer; Bethena, 28; James, 7; George, 5; male infant, 3/12; Alfrey, Elijah, 13, farmhand; Harman, Mary, 21. All born Ky.

1880 census of Morgan Co., Ky, district 87 (Blair’s Mill), p. 18-19 (handwritten), 539A/539B (stamped/microfilm), lists as family #156:
Cassity, William, 53, farmer; Rebecca, 40; James M., 18; George, 15; John, 10; Mary, 6, Samuel, 1. All born Ky Ky Ky.
Despite the mismatch in names, Rebecca is probably the same person as Bethany/Bethenia, because Henry born 1881 listed his parents as William and Bethenia on his marriage license.