The Brick Wall of Azariah Culver

Brick Wall Monday is coming up in 3 days.  Having not received any from you, I will share my own.  Azariah is the 3rd great-grandfather of my husband David.  He is a mystery to us.  We can work on this and whatever you bring on Monday the 26th.

Question:  Who are the parents of Azariah (Ezariah, Zeruiah) Culver (1780-1851)?  The 1850 US census from Tompkins County, NY says he was born in NY but other hints point to Connecticut.  I have found no documentation of birth, parentage or siblings.  His Culver descendants are well-documented down to David Culver.

David's Y-DNA is certified a Johnson/Johnston/Jansen by the administrator of that surname group and definitely not a Culver. He did not inherit his Y-DNA from a Culver man but there is evidence he is descended from a Culver woman.  

Some DNA matches point to Zebulon Culver (Colver) b 1716, a Revolutionary War Lieutenant from Litchfield, CT, as an ancestor, perhaps grandfather.  Zebulon has a son Azariah Culver (1751-1790) of Litchfield, CT who is the age of father or an uncle to our Azariah born 1780.  Some genealogists pick him for the father but David is not from the Culver male line.

Our favorite theory is that during the Revolutionary War a unit from NJ was posted in Litchfield, Ct and one of these soldiers is Azariah's father.  I have a list of Johnsons in this unit but there is no way to narrow them down.  Our theory is that one of Zebulon Culver's 4 or 5 single daughters is Azariah's mother.  So we think they sent the pregnant daughter off to Tompkins County, NY and Azariah was born there.  

Bring your brick walls and we'll give 'em a try!