Answers revealed in the comments.
GAME 1
King Lear’s daughter Goneril was married to the duke of what duchy? It shares its name with the capital of an Eastern U.S. state.
GAME 2
Name one of the two people who have been awarded honorary citizenship of the U.S. during their lifetimes. One was a man who was born in 1874 and the other was a woman born in 1910, and both were born in Europe.
hebspeaks 
game one answer:
Albany
GAME 2 answers:
Winston Churchill
Mother Teresa