"Vermont, Vital Records, 1760-1954," index and images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XFKS-9F9 : accessed 15 May 2015), Samuel Livermore in entry for Asenath Livermore, 24 Apr 1819, Birth; State Capitol Building, Montpelier; FHL microfilm 27,615.
"Vermont, Vital Records, 1760-1954," index and images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XFKS-9FQ : accessed 15 May 2015), Saml Livermore in entry for Asenath Livermore, 29 Aug 1867, Death; State Capitol Building, Montpelier; FHL microfilm 27,615.
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DNA Connections
It may be possible to confirm family relationships with Asenath 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 Asenath: