Addie, usually short for Addison or Adele, is a great choice for a nickname turned real name. There's something really cool about using names that end in "y" or "ie" as first names because they so often are just nicknames. It will be so cool when your daughter introduces herself as Addie,
someone asks her what it's short for and she gets to say, "Nothing. That's my full name." She's going to get so many cool points for that one!