I'm guessing, but my research would put you and your information with the unknown brother, of the original three, who settled in New York.
Unknown is relative I think, other information I have has the names as Aaron, George and John. Well, if one of the (unknown?) brothers named his son John, it stands to reason that my other information is correct and his name is John!
That said, it is now likely that the (unknown?) brother settling in New York is very likely George. Guess work to be sure, but reasonable in the assumption.
The story I have from the 1700's when these three brothers came over from Germany involves the 30 yrs. war and the 200 yrs after for which there are no names listed. However, it is said the 3 brothers decided to make a new start in the Colonies.
I think we are distantly related through these original three brothers. It's possible, so I hope you will keep looking here for others who might show up.