The surname is correctly spelled without the "a", i.e., Olmsted.
Elizabeth's brother, Joseph Olmsted, married Elizabeth Butler (sister to Daniel Butler)
Elizabeth's sister, Mabel Olmsted, married Daniel Butler (brother to Samuel Butler)
20 Nov 1642, Wethersfield, Hartford, CT, United States
17 Oct 1681, Wethersfield, Hartford, Connecticut, United States
Elizabeth is listed as Mary in New England Marriages Prior to 1700 By Clarence Almon Torrey, pg 127
Butler, Samuel (1639-1692) and Mary [Olmstead] (1646-17 Oct 1681, Weathersfield), Haddam, CT; b. 1665; Hartford/Weathersfield
I believe Torry confused Elizabeth with an older sister, Mary, who was born and died in 1646. Of course, the family might have reused the name and she could be "Mary Elizabeth" but no other records have led to that conclusion.
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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 (beta) of DNA with Elizabeth: