Reportedly in the 1840 census of Russell Co., Virginia, although I haven’t checked it.

1850 census of Perry Co., KY, lists as family #150:
Hammons, Esau, 38, VA, farmer; Elizabeth, 37, KY; John, 15, VA; Morgan, 13, VA; Nancy, 11, VA; Polly, 9, VA; Joshua, 7, VA; William, 5, KY; Mahala, 3, KY; Robert, 7/12, KY.

(I find it somewhat curious that the first 5 children were born in Virginia when Esau and Elizabeth were married in 1832 in Perry Co. Ky.)

1860 census of Morgan Co. KY, district 2, lists as family #313:
Hammons, Esau, 46, VA, farmer; Elizabeth, 46, KY; John W., 24, VA; Morgan B., 23, VA; Maryan, 16; VA; Joshua, 15, VA; William, 13, KY; Mahala, 11, KY; Robert P., 9, KY; Sarah J., 8, KY; David J., 3, KY.