William Bailey & Elizabeth Thurston 
They had a son named William.
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Personal Details
Birth Notes
P.R.53 Gloucester Births, Family record now in possession of Miss Mary B.S. Bailey of Lancaster
Death record says place of birth Pelham, GloucesterDeath Notes
Senile Pneumonia and place of birth Pelham Gloucester in Rockport death records:
https://familysearch.org/search/record/results?count=20&query=%2Bgivenname%3AMary~%20%2Bsurname%3ABailey~%20%2Bbirth_place%3A%22Gloucester%2C%20Essex%2C%20MA%22~%20%2Bbirth_year%3A1787-1789~
William Bailey
William was born on March 19th, 1801 in Gloucester, Essex, Massachusetts.1 2
Elizabeth Thurston
Elizabeth was born on September 30th, 1809 in Gloucester, Massachusetts. She died at the age of 77 on September 9th, 1887 in Rockport, Essex, Massachusetts.
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Children
Birth Notes
abt. 1842Death Notes
https://familysearch.org/search/record/results?count=20&query=%2Bgivenname%3AWilliam~%20%2Bsurname%3ABailey~%20%2Bbirth_place%3A%22Rockport%2C%20Essex%2C%20MA%22~%20%2Bbirth_year%3A1800-1802~%20%2Bspouse_givenname%3AElizabeth~%20%2Bspouse_surname%3AThurston~
William T or L (Thurston?) Bailey
William was born about 1841.
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Sources/Citations
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1 Gloucester Records: Esther, d. Joseph, jr. and Esther (Lane), Sept. 16, 1820. PR53, vol. 1, page 81
2 "Historic Homes and Institutions and Genealogical abd Personal Memoirs of Worchester County" by Ellery Bicknell Crane 1907
3 https://familysearch.org/search/record/results?count=20&query=%2Bgivenname%3AMary~%20%2Bsurname%3ABailey~%20%2Bbirth_place%3A%22Gloucester%2C%20Essex%2C%20MA%22~%20%2Bbirth_year%3A1787-1789~
4 Rockport, Pigeon Cove, MA death records