Please review the information Erica Howton detailed in John Cole "the immigrant" 's profile Overview along with posted sources.
Lydia's brother Samuel Cole, I was baptized in Kettering on 23 Jan 1646.
There's no record proving when the family of John and Ann emigrated to New England. According to a book quotation scroll down on John's profile) states that he was in Connecticut Colony in 1655—the year he" was admitted as a freeman."
I suggest the following changes, of which one may differ:
A. — Birth: between 1647 and 1655.
— — According to Torry's estimation, Lydia married John sometime between 1675 and 1678. — "New England Marriages Prior to 1700" @ https://www.ancestry.com/discoveryui-content/view/173909:3824?tid=1...
B. — Consider removing West from Hartford in birthplace. West Hartford was settled/created in 1679. As an aside, there were no CT counties before 1666.