Naming patterns, time frame and the small size of the population at Current suggest that he might be the same person as Hall-24410 but the descendant of Hall-24410 matches only 3 of the 11 people who are listed as possible matches and one of the 3 is connected via a different ancestor. We need more facts in order to verify.
See: https://www.wikitree.com/wiki/Hall-24410
Sources
St. Matthews Church records, page 103
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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 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 William: