Rebecca Lawrence (Woods) - Parentage

Bathsheba Moore, who married Woods is a sister of Mary Moore, who married a Fairfield. That's a fact

Mary Moore Fairfield sister of Bathsheba Moore Woods, was married to Daniel Fairfield, Jr. Daniel Fairfield, Jr.'s father is Daniel Fairfield, Sr. Daniel Fairfield, Sr. is a brother of Walter Fairfield. This Walter Fairfield married, Elizabeth Smith Fairfield, she is a sister of Joseph Smith.
That's the true ancestry.