Pmac, The Genovese crime family has had underboss and Consigliere in their families from New Jeraey since the 1940s. The Colombo crime family had an underboss from New Jersey for a short time. Tommy Lucchese allegedly offered Sam Accardi the underboss position when he took over, but Sam refused the offer and remained a Capo, Lucchese reduced the tribute from New Jersey, and Ducks just followed suit when he became boss.
The Lucchese New Jersey faction was the biggest crew Luchese had due to many members were from the Vita area, that faction also had the Dolasco brothers, Pizzolato brothers, Russo brothers, Abate cousins, DiVanzo cousins quite a bit of earners from the 1930s onwards.