Jeremiah was listed as 36 in 1850 (implying a birthdate around 1814) and 51 in 1860 (implying a birthdate around 1809). I am splitting the difference and entering his date of birth as about 1811, but it could be as much as 3 years off.

1850 census of Fleming Co., Ky, division 2, enumerated 13 Aug, lists as family #31:
Jeremiah Ramey, 36, farmer; Eunice, 24; Thomas, 3; Franklin, 1. All born in Ky.

1860 census of Rowan Co., Ky, Morehead precinct, enumerated 2 Aug, lists on p. 36 as family #268/273:
Jeremiah Ramey, 51, farmer; Eunis, 33; Thomas, 13; Frank, 11; Mary A., 9; James, 6; Richard, 3; Andy, 10/12. All born in Ky.

The preceding household is that of William Jones age 30 and Barbary age 29 (nee Myers.)

1870 census of Rowan Co., Ky, Pearce precinct, enumerated 20 June, lists on p. 10 as family #69:
Ramey, Jerry, 66, farmer; Eunice, 43; Thomas, 23; Franklin, 21; Mary, 18; James, 16; Richard, 14; Andrew, 10; William, 8; Jarrel, 5. All born in Kentucky.

1880 census of Rowan Co., Ky, Christy Creek precinct, enumerated 1 June, lists on p. 5 as family #309/330:
Ramey, Eunice, 52, widowed; Thomas, 32, son, mechanic; Benjamin F., 31, son; James, 25, son; Richard, 23, son; William R., 17, son; Samuel, 15, son. All born Ky Ky Ky.

1900 census of Rowan Co., Ky, Pearce precinct, enumerated 1 June, lists on p. 1B as family #14:
Ramey, Eunice, 72, b. Jan 1828, widowed, mother of 3 children, 3 living; James, son, 39, b. May 1861; Wm R., son, 37, b. Mar 1863; Samuel L., son, 34, b. Aug 1865; Flora B., granddau, 15, b. Oct 1884.

Flora is also listed in the following household with her parents, Thomas Ramey and Artie Oney.