Based on 1850 census and https://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=19886305. Her parents probably were
https://www.wikitree.com/wiki/Pate-816
Eddie & Donnie,
Here's to Wiki collaboration! I started researching the 1850 Census and found a half-dozen "Elizabeth Gibsons" who were b. in North Carolina. Eddie's clue lead me to the matching census, where Elizabeth is 18 years old.
Hope this helps, Janine
Year: 1850; Census Place: Wolf Pit, Richmond, North Carolina; Roll: M432_642; Page: 277B; Image: 55