"United States Census, 1850," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:MCY9-5MZ : 23 December 2020), John Barnes, Harford, Cortland, New York, United States; citing family , NARA microfilm publication (Washington, D.C.: National Archives and Records Administration, n.d.).
"New York State Census, 1855," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:K6QH-JZZ : 3 March 2021), John Barns, Harford, Cortland, New York, United States; citing p. , line #8, family #85, county clerk offices, New York; FHL microfilm 843,780.
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DNA Connections
It may be possible to confirm family relationships with John 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 some percentage of DNA with John: