I just researched the vital records in Exeter, RI, which conflicts with the information you cited.
In Book 1, p.158, the 18 April 1725 marriage of Susannah Barber to JEREMIAH Colegrove is recorded.This record notes "Susannah Barber daughter of Thomas both of Exeter". Jeremiah was the son of Francis Colegrove JUNIOR, and Hannah Bailey/Baille. Francis, Jr., of course, was the son of the immigrant Francis and his wife Anna.
Note also that it was the junior Francis who married Hannah Bailey, not the immgrant as was cited in the 1894 Colegrove book.Westerly vital records (Vol 2., p. 100 reindexed as p.115) clearly note the 5 March 1718/19 marriage of "Francis Colegrove Jn'r" & Hannah Bailey, presided over by Thomas Hiscox Justice.Hannah's last name is spelled Bailey in one record and Baille in another.
Francis Junior was also not born in 1698 as the 1984 book states -- that date was for the adult baptism of the immigrant Francis and his wife (the record refers to "wife of Francis" without naming her; Westerly land records name her as Ann and Anna).The Sabbatarians did not believe in infant baptisms, which is consistent with the larger Baptist sect they split from.The Sabbatarians, including Francis Senior, were instrumental in the settling of Westerly, RI. The 1698 baptism is for the Newport Sabbtarian church, but that church officiated over the Westerly settlers until a second Sabbatarian church was built there in 1708.So the fact that the record is in Newport does not mean they lived in Newport (as is often claimed) -- just that the baptism was recorded there.