Published index to Morgan Co. marriage records lists marriage of David Hall to Sarah Brown, October 1852. From my reading of the microfilm of marriage book 1, p. 116, it looks like David Hall to Sesea Brown, license issued 14 Oct 1851, no return.

1850 census of Morgan Co., KY, lists David twice, once as age 20 with his parents (see their notes), and once on p. 105, taken Aug. 2, as David Hall, age 20, laborer, living with the family of Samuel Smedley in household #255.

1860 census of Morgan Co., KY, West Liberty district 1, enumerated 5 June, lists on p. 2 as family #6:
David Hall, 30, farmer; Sesa, 33; Martha S., 4; William H., 2.

I have not found this family in 1870. I did a nationwide search at Ancestry on David or Sesa Hall or Hale (in case of a misindex) born in Kentucky, and found no matches.

1880 census of Cloverdale township, Putnam Co., Indiana, enumerated 5 June, lists on p. 579A as family #82:
Hall, David, 51, b. Ky/Va/Va; Sesa E., wife, 55, b. Ky/Va/Va.

1900 census of Cloverdale township, Putnam Co., Indiana, enumerated 14 June, lists on p. 10B with the family of his son William:
David Hall, age 70, born Dec 1829, Kentucky/Ky/Ky, widowed.

1910 census of Cloverdale township, Putnam Co., Indiana, enumerated 2 May, lists on p. 5B with the family of his son William:
David Hall, father, 80, widowed, b. Ky/Ky/Ky.

1920 census of Marion township, Putnam Co., Indiana, page 11B, lists near the bottom on an entire page of residents of the Putnam County Infirmary:
Hall, David, 90, widowed, born Ky/Ky/Ky.