There is New Hampshire birth record for Sarah in the New Hampshire Bureau of Vital records. The record was transcribed in 1906 and gives date of birth as May 2, 1663, father as Seaborn Cotton and mother as Dorothy.
There is a marriage record for Sarah to Richard Pearce on 27 Aug 1680.
Sarah is listed in the 1684 will of her father, Seaborne Cotton, as among "...my Three Eldest daughters, Dorothy, Ann, and Sarah..."
Sources
"Identifying Anna Pierce, Wife of Francis Whitmore of Medford, Massachusetts" by Marian Bowers Natale in the NEHG Register VOLUME 169, WHOLE NUMBER 673, WINTER 2015
Original data: “New Hampshire, Birth Records, through 1900.” Online index and digital images. New England Historical Genealogical Society. Citing New Hampshire Bureau of Vital Records, Concord, New Hampshire.
Original data: Torry, Clarence A. New England Marriages Prior to 1700. Baltimore, MD, USA: Genealogical Publishing Co., 2004.
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