Abel Gardner was born September 1, 1673, the son of Samuel Gardner and Mary White of Salem, Massachusetts
Circa 1694, he married Sarah Porter, the daughter of Israel Porter and Elizabeth Hathorne of Salem, and their children included:
Samuel, born March 7, 1695, who married Sarah, daughter of John and Hannah (Treadwell) Adams of Ipswich in 1719; and who died about 1736 
Jonathan, born Feb 23, 1697, who married Elizabeth (daughter of John and Elizabeth (Weld) Gardner); and then married widow Mary Avery of Bostone, and then married widow Mary (Pickering) Palfrey of Salem ; and who died November 27, 1783 
↑Torrey's New England Marriages Volume 1, page 598 New England Marriages to 1700. (Online database. AmericanAncestors.org. New England Historic Genealogical Society, 2008.) Originally published as: New England Marriages Prior to 1700. Boston, Mass.: New England Historic Genealogical Society, 2015.
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It may be possible to confirm family relationships with Abel by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Abel: