I didn't find Rebecca in Clinton Co. KY & Overton Co. TN. If irst found her in the 1880 in Neathery & Shelly, Clinton, KY.
I assume she was newly married since they don't have any children listed in this Census.
I'd contact the Clinton County Historical Society
Albany 42602 and ask if they have any marriage records.
1900 Neathery, Clinton, KY
George Butler, b. KY May 1860, M20yrs, farmer
Rebecca, b. KY June 1866, 9/6 ch
James A., b. KY, Jan 1883, farm laborer
Charles G., b. KY Aug 1884, farm laborer
Lewis A., b. KY Nov 1886, farm laborer
Samuel K., b. KY Jan 1889, farm lab
Daniel A., b. KY May 1891
Addie E., b. KY Oct 1895
George A. Butler, b. KY, 50, M1-29yrs, farm laborer
Rebecca, b. KY, 45, 11/8 ch
Lewis A., b. KY, 23, farm laborer
Samuel, b. KY, 20, farm lab
David, b. KY, 18, farm lab
Addie, b. KY, 13
Love, son, b. KY, 9
Aida, b. KY, 6
1920 Seventy-Six, Clinton, KY
George A. Butler, b. KY, 57, farm laborer working out
Becca A., b. KY, 52
Addie E., b. KY, 21
Love V., b. KY, 18, farm lab working out
Ada H., b. KY, 16
Rebecca Dickerson Butler
Born: 14 Feb 1862
Died: 24 Nov 1938
Buried: Piercey Cemetery, Albany, Clinton, KY
with info about family members
I'd contact the Clinton County Historical Society and ask about a copy of her obituary. Her parents names might be in it. Successful Searching!