In the 1860 and 1870 censuses, Abraham was unmarried and living with his mother:

1860 census of Floyd Co., Virginia, Court House district, enumerated 7 Aug, lists on p. 144 as family #1042/973:
A. J. Jones, 42, farming; Cassandra, 81; Irena James, 24. All born in Virginia. (Cassandra’s maiden name was James. Irena may be a niece of hers.)

1870 census of Floyd Co., Virginia, Jacksonville township, enumerated 21 June, lists on p. 10 as family #69/66:
Jones, Abram J., 52, farmer, b. Va; Cassandra, 91, b. Maryland; James, Irene, 33, b. Virginia.

1880 census of Floyd Co., Virginia, Jacksonville township, enumerated 25 June, lists on p. 42 as family #399:
Jones, Abraham J., 62, surveyor, b. Va Va Md; Nannie E., 30, wife, b. Va Va Va; Hill, Amanda M., niece, 2, b. Va Va Va.

1900 census of Floyd Co., Virginia, Court House district, enumerated , lists on p. 13B as family #234/235:
Jones, Nannie E., 50, b. Mar 1850, widowed, mother of 1 child, 1 living; Mary J., dau, 12, b. Aug 1887. Both born Va Va Va.