I'm told my Nestors came from Cork but have no confirmation.
One of the Michael Nestors( but not my great grandfather) who lived on Baldwin St, Newark,among all the others, was married to Bridget Crowley at St Columba's in 1883. So there wasconnection to St Columba.
My uncle said he remembered that "Uncle Johnny" Nestor was Chief of Police in Jersey City. He may have the recollection of first name wrong but I doubt whether he was wrong about the Chief of Police.
Did a little research and concluded that your Joseph Nestor lived at Bayview Ave., Jersey City in the 1920's and 30's. Am I correct?