Her married name of Cowens is noted in her father's 1770 will.
Sources
Mayflower Families Vol. 13 p. 86
birth: familysearch.org (images); Massachusetts, Town Clerk... Towns Records 1579-2001> Worcester> Brookfield> Births, deaths 1700-1848> image 82 (p. 131)
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DNA Connections
It may be possible to confirm family relationships with Hannah 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 Hannah: