From her Geni Profile it appears that Elizabeth Henderson married first to Thomas Whaples and had two children with him prior or 1737. In 1737 she married John Cole, and had children with him as well.
She passed away in 1788. Her gravestone indicates her name at death was Elizabeth Cole. She and a number of Coles are buried in South Burying Ground, Kensington, Hartford County, Connecticut.
Sources
↑ "Connecticut Births and Christenings, 1649-1906," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:V2SW-5KQ : 11 February 2018), Elizabeth Handerson, Apr 1703; citing ; FHL microfilm unknown.
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DNA Connections
It may be possible to confirm family relationships with Elizabeth by comparing test results with other carriers of her 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 Elizabeth: