Some trees on Ancestry.com show her given name as Sarah Evaline, but all the primary source records I’ve seen just say Evaline (or some spelling variant.)

1870 census of Bath Co., Ky, Mudlick precinct, Olympian Springs P.O., enumerated 12 Aug, lists on p. 23 as family #164/166:
Roberson, Thomas, 34, farmer; Eveline, 21; Harvey, 2; infant, 3/12. All born in Ky.

The unnamed infant is recorded as male, but it is really Emma.

1880 census of Bath Co., Ky, Polksville precinct, enumerated 19 June, lists on p. 20 as family #181/183:
Roberson, Thomas I., 44, farmer; Evaline, 31, wife; Harvy S., 11, son; Emma, 10, dau; Jessee A., 8, dau; Florrence, 6, dau; Albert, 4, son; Clark, 1, son. All born Ky Ky Ky.

1900 census of Bath Co., Ky, White Sulphur precinct, enumerated 21 June 1900, lists on p. 19B as family #377:
Robison, Thos, 65, b. Sep 1836, farmer; Evaline, wife, 50, b. Oct 1849, married 32 years, mother of 10 children, 10 living; Clark, son, 21, b. Oct 1878; Willie, son, 19, b. Feb 1881; Walter, son, 17, b. Mch 1883; Carrie E., dau, 14, b. May 1886; Luther M., son, 11, b. Sep 1888.

In 1910 Evaline and Luther are living with Thomas and Evaline’s oldest son Harvey and his wife Mollie.