LHA is Leftwich Historical Association. This report has been building for years mainly based on submitted lineages of members and since I do DNA for LHA and help with research I've built most of the lineages in at WT.
The LHA report lists Gabriel born @ 1813 Bedford VA, died 13 Mar 1895 Carroll VA. I used the census info for Carroll, VA in estimating 1819 as DOB. In addition to Gabriel there's a James born 1821, a Joel Keith born 1828, and a Susan, no DOB cited, these I have not created. Ruth Ayres born 1774 (estimated based on 1795 marriage date) is too old to have these late kids. And presuming the Carroll connection is correct then Gabriel born 1819 fits better with above born 1821- 1830. I don't know who his parents are but I don't think William & Ruth are. Wish I could get into our library to check Carroll VA!