Frances is correct, that first John Kaighin was a Quaker, and likely stopped over in Ireland on the way over to New Jersey. I put a manuscript online that details all Kaighin decendants of this John Kaighin. It was written in 1920 by Charles Boyer. See http://www.kaighin.com/FamilyHistory/Boyer/Boyer.htm

I also have an article "Who was John Kaighin of New Jersey, America" that I can scan and send you if you're interested.

Also, the person you need to talk to about this New Jersey Kaighn bunch is Bob Christian. Email me at kaighin@iname.com and I will give you his email address

Greg