The birth record (Timothy, "Conant alias Bassett", s. Thankfull Bassett) is somewhat unusual since for illegitimate children, usually only the mother's surname is given. I suspect that Thankful Bassett, being 27 years old, was anxious to get married and may have seduced the much younger Timothy Conant in hopes that he would then marry her. And when he didn't volunteer to getting married, perhaps she thought naming the child after him might put pressure on him to get married. If so, it clearly didn't work. Anyway, I just don't know any other Conant in Bridgewater who would be such an obvious candidate to be the father.