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Someone finally got it. The Demorys of today, came over from Holland, by way of France; they were Huguenots. Those names that you list are almost complete. They were Demarests, pronounced "Demoray". They settled in and around Hackensack, New Jersey. If you look on a map of North Jersey, you will find a town named "Demarest" just above it.
My ancestor, John Demery, died in 1806, between September and November. Some have listed his birth as 1841. In North Jersey, there is a John without a date of death, and a date of birth of 1741. Another John, with a father named Peter, fought in the American Revolution. The Jersey John had a brother named Petrus(dutch for Peter). The Revolution veteran listed his place of birth as New York, which was easily confused with north jersey in colonial times. Great to see that someone else made a connection.