Jesse Martin owned property outright as early as 1786 in Monongalia County, (West) Virginia . In 1792, authorized ferries included one from Jesse Martin's lands to lands of David Scott.
I do also give and bequeath to my oldest son Jesse Martin my river tract of land containing four hundred acres and including the mouth of Crooked run and Bounded by the Monongalia and my home place to him and his heirs forever.
*"West Virginia Will Books, 1756-1971," database with images, FamilySearch  : 12 March 2018), Charles Martin, 1798; citing Monongalia, West Virginia, United States, Will book, v. 001 1819-1903, page 304, county courthouses, West Virginia; FHL microfilm 840,755.
Wiley, Samuel T., History of Monongalia County, West Virginia: from its first settlements to the present time ; with numerous biographical and family sketches, Preston Pub. Co., West Virginia, 1883 
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It may be possible to confirm family relationships with Jesse by comparing test results with other carriers of his ancestors' Y-chromosome or 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 DNA with Jesse: