Dear Ken, Thank you so much for providing information of which I've been very curious.
I do believe A.P. McCormick's story of John Adams living with his daughter, Catherine.Perhaps the timing of his death might be off but given the census records you listed, there would not have been young children in his houshold.
I can image how hard it must be to research the Adams surname considering how many there were as well as the fact that they repeated the same names for their children.
I'm most grateful for the Lowrance information for there are few in the Tyrrell Co. NC records that connect to some of my other lines.I'd wondered if there might be a connection in an earlier location.
May you have great success in your search for documentation.