"Vermont, Vital Records, 1760-1954," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XF95-G5P : accessed 7 November 2015), Welthey Kinney in entry for Joseph A. Sherburne, 29 Feb 1904, Death; State Capitol Building, Montpelier; FHL microfilm 540,144.
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DNA Connections
It may be possible to confirm family relationships with Joseph 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 Joseph: