Might be a place to start your search with his half brother?
https://familysearch.org/pal:/MM9.1.1/MC6D-SJF
United States Census, 1880 Reems Creek, Buncombe, NC
self Jasper A. Crook M 37 NC
wife Rebecca E. Crook F 34 SC
dau Rachael E. Crook F 11 NC
son Thomas M. Crook M 9 TN
dau Emily V. Crook F 7 SC
son James A. Crook M 6 SC
son Wm J. Crook M 3 SC
son John E. Crook M 1 NC
mother Alay Allison F 59 NC
half brother James B. Allison M 18 NC