the only reference I can find of Wm Wright the Scotsman is regarding his residence on Lake Mahopec after 1788, which is associated with Wm Wright s/o Robert Wright (not a Scotsman). Is the history book wrong?
Sources
Early settlers of New York State : their ancestors and descendants by Foley, Janet Wethy. p 44
History of Putnam County, New York : with biographical sketches of its prominent men by Pelletreau, William S. (William Smith), 1840-1918
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DNA Connections
It may be possible to confirm family relationships with William 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 William: