With a DOB as 1801 Silvy would be her grandmother....Laura was born 1855 and Silvy would have been age 54.
This may be your Laura (the right age) in 1870 Jefferson County, FL, sheet 15, page 376A
WILLIAMS, Dandy, 40, B, working on farm, born SC
Amanda, 30, B, working on farm, born FL
Laura, 16, B, born FL
I---, 12, (male) B, at school, FL
Washington, 06, Mu, at school, FL
C-----, 04 (female), B, FL

The following family are 2 households down:
WILLIAMS, Sandy, 52, (male), B, working on farm, SC
Ned, 72, B, Africa
Patty, 70, B, Africa
Adeline, 45,B, SC
Lydia, 35, B, SC
May, 20,B, FL
Sandy Jr, 16, B, FL
Eliza, 15, B, FL

Vera