In 1790, Moses moved from Windham, Connecticut to Sturbridge, Massachusetts and in 1797 to Lebanon, New Hampshire. 
Moses died Mar 1813 in Lebanon, New Hamshire. Hannah died 1808. 
↑ Connecticut: Vital Records (hereinafter The Barbour Collection), 1630-1870 (Online Database: AmericanAncestors.org, New England Historic Genealogical Society, 2011.) From original typescripts, Lucius Barnes Barbour Collection, 1928. Volume: Windham, page 121. See record at subscription site.
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It may be possible to confirm family relationships with Moses 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 Moses: