Elizabeth Esther Dain, daughter of John Dain, was born in Lisbon, Maine on Jan 5, 1835. "Maine Vital Records, 1670-1921," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:2HJY-MDB : 4 April 2020), Elizabeth Esther Dain, 05 Jan 1835; citing Lisbon, , Maine, United States, multiple sources, Maine; FHL microfilm.
Elizabeth, daughter of John Dain, died in Portland, Maine on Jun 16, 1837. 
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It may be possible to confirm family relationships with Elizabeth 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 Elizabeth: