1850 census of Fleming Co., Ky, division 2, enumerated 19 Aug, lists on p. 127 as family #127:
John Hawkins, 27, laborer; Deliah, 22; James, 3; Margaret, 7/12. All born in Kentucky.

The preceding household is headed by Samuel Razor, age 51, possibly a brother of John’s mother.

I cannot find this family in the 1860 census. They may have been in the process of moving, which often caused families to be missed.

1870 census of Hancock Co., Indiana, Jackson township, Charlettsville P.O., enumerated 10 Aug, lists on p. 23 as family #174:
Hawkins, John, 46, farmer; Delia, 41; James, 22; Margret, 20; Sarah, 17; Thomas J., 10. All born in Kentucky.

1880 census of Union Co., Indiana, Brownsville, enumerated 8 June, lists on p. 10 as family #106/113:
Hawkins, John, 60, laborer; Delila, wife, 52. Both born Ky Ky Ky.

The next household is headed by their widowed daughter Sarah Click, age 27, with three children.