"Invent" is in quotes because all we know is the first recorded use of each word, so the fact that Chaucer has more than Shakespeare isn't as interesting as who has the best words. I'm tempted to go on Team Shakespeare because I like immediacy, laughable, obscene, generous, radiance, tranquil, and useful. But I'm going with Team Chaucer, because, in addition to quantity, he's got accident, Martian, princess, superstitious, vacation, vulgar, snort, universe, theater, scissors, perpendicular, village, wildness, outrageous, femininity, dishonest, and galaxy. No, it's not really fair. Chaucer got there first, and snagged many useful words (though not useful, the word).
Bonus Althouse info: The first house I ever lived in was on Chaucer Drive.