In 1900 she was listed in Clermont Co., Ohio, with her daughter Georgetta and her husband Granville Kennedy, as Adelia A. Petit, 62, born Ohio Ohio Ohio, mother-in-law, widowed, mother of 9 children, 6 living.

1910 census of Clermont Co., Ohio, Washington township, Neville, enumerated 18 April, lists on p. 1B as household #15:
Petitt, Adelia A., 71, b. Ohio Ohio Ohio, widowed, no children. (The question has apparently been misinterpreted.)

1860 census of Pendleton Co., Ky, Aspen Grove P.O., lists on p. 210 as family #1453/1427:
Wm W. Pettit, 24, farmer, b. Ky; Ann, 22, b. Ohio.

1870 census of Pendleton Co., Ky, Falmouth precinct, lists on p. 457 as family #245:
Pettit, William, 34; Adelia A., 30; Laura B., 10; Georgetta, 8; Nancy E., 6; Walter S., 4; Minnie, 1.

William is listed as born in Kentucky, Adelia in Ohio, and the children all have ditto marks. Literally this would mean they were all born in Ohio, but it is apparently an oversight of leaving out the Ky on either Laura or Georgetta.

1880 census of Bracken Co., Ky, Foster precinct (ED 9), enumerated 7 June, lists on p. 11 as family #78/77:
Pettit, W. W., 44, b. Ky Ky Ky; Adelia Ann, 42, wife, b. Ohio Ohio Ohio; George Ettie, 17, dau; Nannie, 15, dau; Walter, 13, son; Lotto, 9, son; Charlie, 7, son. All children born Ky Ky Ohio. Minnie apparently died young.