Jason I just discovered your "follow-up" posting. I was born in Plainfield and grew up in Monmouth County but escaped NJ's growing congestion over 40 years ago and headed west. I am sorry to say that I don't miss the old Garden/concrete State.
Unfortunately none of the Adairs you listed are on my ancestral radar but you never know. By New Jersey standards it is a long way from Somerset County to Ocean County (Lakehurst). If however you discover some 19th and 18th century Adairs in your genealogy who lived in Somerset, Middlesex or any other neighboring County please be in touch.