No such thing as a c..ppy question, cassandra. Although I've seen some answers here that could fit into that category.
So that's why my ears have been burning....
Oh, I have so many guesses, but I will start with Dr. No because I understand this was JFK's favorite film.
google says: The first movie shown in the White House was D.W. Griffith's 'Birth of a Nation' in 1915. Woodrow Wilson was president