The Longley Family Genealogy compiled by Louise Baneck Longley and Janneyne Longley Gnacinski, 1967, FHL Film # 928132 Item 6, page 8.
Groton Vital Records
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DNA Connections
It may be possible to confirm family relationships with Josiah by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree:
Note that Groton MVR lists his birth as 3 Jan 1717, and his sister Mary as Oct 12 1716. This is probably the whole calendar thing again. His actual birth year is probably 1718. Joseph and Abigail had 14 children over a span 24 years, but no children in 1718.