I have looked and looked, and been unable to find John Leasil Brasher and his family in the 1870 census in Utah, though they should have been included.
I have found an entry in the 1870 Kamas, Summit County, Utah census that looks very suspiciously like a very poorly enumerated entry for them, and I decided I’d post the information here, to see what others may think.
UTAH , SUMMIT, RHODES VALLEY
Series: M593 Roll: 1612 Page: 130
Post Office Kamas Prarie
Brasie John 26 M W Farmer Virginia
” Emma 20 F W Keeping House England
” Caroline 3 F W at Home Utah
” John 1 M W at Home Utah
” Alwilda 29 F W Keeping House Wales
Lots of things are wrong: Virginia instead of Kentucky for John’s birthplace, Emma instead of Eliza, Caroline instead of Clara Bell, Alwilda instead of Ann (Butler), but the ages match and England and Wales are correct.
Possible reasons why this might be them:
1–they were too new to the area, and the enumerator didn’t talk to them but to a neighbor instead
2–they were worried about federal agents because of polygamy, so whoever did talk to the enumerator didn’t give the exact information
So, could this be them?