This is not a famous name. The mother of Abigail Adams,wife of John Adams and mother of John Quincy Adams was named Elizabeth Quincy Smith. John and Abigail had a still-born daughter whom they named Elizabeth- I can find no record that they gave her the middle name of Quincy.
John Adams was elected from massachussetts
John Adams was born October 30, 1735
John T. Adams was born in 1862.
John Clayton Adams was born in 1840.
John R. Adams was born in 1955.
John Adams Whipple was born in 1822.
John Adams Jackson was born in 1825.
John Adams - martyr - was born in 1543.
John Adams Gilmer was born in 1805.
John J. Adams was born in 1848.
John Jay Adams was born in 1860.