Old-fashioned nickname with sweet turn-of-the-last-century charm that's become a favorite of today. Little girls might like the fact that it's the name, though spelled Addy, of an American Girl series doll.
Addie Singer, main character in the show "Unfabulous"
Addie Mills, character in "The House without a Christmas Tree" Addison "Addie", "The Misfits" book series character
Addie, character from What's Left of Me
Addie, one of the original American Girl dolls