Dorothy and possibly two siblings were all christened on 17 July 1737 in Old South Church, Portsmouth, NH. She is the daughter of Samuel Sherburne and Catherine Sherburne.
Sources
"New Hampshire Births and Christenings, 1714-1904", database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FDXT-GPP : 18 January 2020), Samuel Sherburn in entry for Dorothy Sherburn, 1737.
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DNA Connections
It may be possible to confirm family relationships with Dorothy by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Dorothy: