Here's a possibility for Charity in the 1880 US Census:
Name: Charity Collinsworth
Birth Year: abt 1876
Home in 1880: Floyd, Kentucky
Relation to Head of House: Daughter
Marital Status: Single
Father's Name: John Collinsworth
Father's Birthplace: Kentucky
Mother's Name: Nancy A. Collinsworth
Mother's Birthplace: Kentucky
Household Members: Name Age
Nancy A. Collinsworth
I think that Collinsworth became shortened to Collins later.
Also, I think that Garrel = Jarrel (relatives of Nancy)
Jackson could be a nickname for John.
All of this is speculation, of course, and needs to be verified with more info....