There are a lot of very different drinks out there called “Nutcracker cocktail”. This is the version I found in an old book, and I’m guessing it’s the original. It blends the the flavors of coffee, almond, orange and caramel.
I’m guessing the Red Frog is so named because it’s reddish and, um, Chambord is French. The drink itself is a tasty mix of sweet raspberry, tart cranberry, sweet almond and smooth caramel notes from the Crown Royal.