Abigail was born circa 1732, perhaps she is a daughter of Thomas Parker of Kent County, RI. She married Consider Hall in 1752.
Research Notes
We need to find a primary source for her parents being Thomas Parker and Martha Barber - check RI vital records - where did Moriarty in the "Henry HALL of Westerly, RI" article get her surname?
Sources
Rhode Island, U.S., Vital Extracts, 1636-1899 for Abigail Parker
Vol. 01: Kent County: Births, Marriages, Deaths
"Rhode Island, Town Clerk, Vital and Town Records, 1630-1945," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:F8SC-FXN : 4 November 2020), Abigail Parker, 16 Apr 1732; citing Birth, Rhode Island, British Colonial America, various city archives, Rhode Island; FHL microfilm 925,615.
"Massachusetts, Town Clerk, Vital and Town Records, 1626-2001", database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:DDMM-1KN2 : 10 November 2020), Abigail Hall in entry for John Hall, 1770.
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DNA Connections
It may be possible to confirm family relationships with Abigail by comparing test results with other carriers of her mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Abigail: