" It also states that William was born in Bay Ridge."

None of those addresses are in Bay Ridge however, a birth in Bay Ridge doesn't preclude parental residence somewhere else in Brooklyn or, for that matter, somewhere else in the NYC metropolitan area.

I, for example, was also born in Bay Ridge (Methodist Hospital) tho my family resided in the Windsor Terrace/Prospect Park Southwest area.

Bottom line, any of those mentioned could still legitimately be your gggrandfather.