Two completely different people. The Mary Harris who was born 16 October 1763 was the wife of Esek Sayles and died in Glocester 7 October 1847 - see the gravestone photographed at findagrave.com, as well as the family tree profile to which that birth record is linked.
You are looking for a Mary Harris who married a Timothy Crandall and died (presumably in Dutchess County, NY) 14 November 1846.
That being said, the Vital Records of RI, 1636-1850, vol. 2, Providence section, p. 227, show no births of a Mary Harris in the town of Providence in 1762 (the last birth of a Mary Harris there was in 1750). So where did the book get its information from?