this may not be of much help. the best i can tell all verhine(s) have descended from averhart verhine. he came to the states about 1783. his sons were william abt. 1790, henry (1794), wesley (1796) and jesse (1800).
i descend from william, who added the "s" while living in tennesse. i have been trying for years to find averhart's european origins. i'm guessing germany and probably a name change or alteration.
this is just speculation, but looks possible that he might have been a german hessian soldier hired to fight the colonists in the amrev. either a deserter or prisoner who stayed on after the war.