1.This source verifies what you have on Samuel's Birth and Death dates but note no location for the birth.
U.S., Find A Grave 1600s- Current. Name: Dr Samuel Sweet Birth Date: 1749, Death Date: 23 Feb 1837 Death Place: New York, USA Cemetery: Remsen Bush Cemetery Burial or Cremation Place: Florida, Montgomery County, New York, USA. URL: http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=28822882&ref=acom
2. There is some information here at: http://www.schenectadyhistory.org/families/hmgfm/sweet-2.html
While the other Sweets may not line up exactly, or they left out some generations, Samuel's son Dr Waterman Sweet has the same year of birth year wife's name as your profile of him shows.
Dr. Waterman, son of Dr. Samuel Sweet, was born in Providence, Rhode Island, April 8, 1776, died 1849. He inherited the method of bone treatment followed by his father. His fame extended over a large section of country, and he was much sought after by those afflicted with diseases he was reputed to successfully cure... Waterman Sweet married, in New York, Elizabeth Hodges,
You may have to contact the Schenectady County Public Library in New York to get more information.