No records have been found for his birth, but family was living in Fairlee / West Fairlee VT at the time. They then moved to Sheldon VT during his childhood. Best records for him are in Fair Haven VT, where he married and died.
He had six known children, presumably all by wife, Sibel Bullock. Their names were Amasa, Ellen, Betsy Jane, James P., Samuel C., Lucy Jane.
Sources
Find A Grave, database and images (https://www.findagrave.com : accessed 15 March 2020), memorial page for William Allard (1803–13 Feb 1859), Find A Grave Memorial no. 114491121, citing West Street Cemetery, Fair Haven, Rutland County, Vermont, USA ; Maintained by Janet Muff (contributor 46951416) .
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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: