Yes- Dorothy Quincy Hancock was related to Abigail Adams (whose maiden name comes from the Quincy family)- Dorothy Quincy is the wife of John Hancock Abigail Adams is the wife of John Adams and the...
George Washington Adams was John Quincy Adams' son.
John Quincy Adams was Evangeline Adams grandfather.
John Adams was the second president of the United States and John Quincy Adams was the sixth president and the son of John Adams.
President John Adams was the father of President John Quincy Adams.