Since you were so sure your grandmother was born in Franklin Co, TN, I went back and looked at all of the Colliers on the 1900 census, and look what I found.Now, we can wonder, was one of these names his middle name?Or, did the enumerator just plain old make a mistake with his given name??An ancestor of mine had a brother which the family called Miller Rice.His name was Adam Miller Rice, for his maternal grandfather.First census on his own he was Adam M. Rice, next he was A. Miller Rice, and last one he was Miller Rice.
1900 census Franklin Co, TN:
Collier, Louis, hd, b Apr 1863, 37, M 12 yr, b TN, unk, MS
" Lucinda, w, b Mar 1869, 40, M 12 yr, 5 ch, 5 lvg, b TN, TN, TN
" Ula, d, b Dec 1888, 11, b TN
" Myrtle, d, b Jan 1891, 9, b TN
" Rena M., d, b Oct 1894, 5, b TN
" Lucie, d, b Dec 1896, 3, b TN
" Walter, s, b Jun 1899, 11/12, b TN
All listed as black.This gives you the name of the oldest child, Ula, that was already gone from the household on the 1910 census.
Happy Hunting (^_^)