Abraham was born in 1732. He was the son of Ephraim Jones and Mary Copeland. He passed away before 1736.
Sources
Esther Littleford Woodsworth-Barnes, Mayflower Families through Five Generations, Vol 16, Part 1, The Descendants of John Alden, General Society of Mayflower Descendants, 2002. "The Silver Book" Page 512
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DNA Connections
It may be possible to confirm family relationships with Abraham by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
However, there are no known yDNA test-takers in his direct paternal line.
Mitochondrial DNA test-takers in the direct maternal line: