The birth place given likely reflects that fact that her family of origin moved to Vermont.
↑ Not in the 1870 census with her husband. Death records for Mary and her husband cannot be found online.
Her death date is commonly given as 7 Sep 1849 (without a place). There was a Mary Wolcott who died in Sep 1849, but she was 9 years old and died in Michigan (see mortality records of the 1850 census). No evidence can be found that Noah remarried (and Ohio marriage records are commonly available online), and the birth places listed for Mary Wolcott in the 1850 and 1860 censuses match where Mary (Dick) Wolcott was born and raised, so it is assumed that the Mary Wolcott in the 1850 and 1860 census records was Mary (Dick) Wolcott, making an 1849 death date incorrect.