That would probably be my armadillo purse. It's a purse made out of an actual taxidermied armadillo. It's rolled up and it's head is on a hinge. The inside is lined in red silk. One of my sisters brought it back from Mexico for me about 45 years ago.
It really came in handy when my daughter was a teenager. I was very liberal with my daughter about what she wore. If she was going to a party, a game, an event and was dressed/made up/wearing whatever the ridiculous fad was at the time, it was OK with me. There were going to be 20 other teen girls dressed as ridiculously and it really wasn't a hill I was prepared to die on.
But if we were going to a wedding, a funeral, a nice restaurant, somebody's house, etc, etc., then I required a certain level of decorum. She'd emerge from her room, wearing God-knows-what, and I'd ask, "Is THAT what you're wearing?" The answer would be an indignant "YES! What's wrong with it???" I'd say, "Well, OK, let me get my armadillo purse and we'll be ready to go."
That would always do the trick. She was HORRIFIED that I'd consider carrying that purse out in public, absolutely horrified. I figured that if I let her wear what she wanted, then I was entitled to the same privilege....right? If she thought it was OK to look like a walking freak circus, I was OK carrying around a dead animal. We'd come to an agreement that satisfied both sides.
I still have that purse and I bring it out on occasion. My granddaughter never thought there was anything wrong with it and the Littles are absolutely delighted with it and beg to have it. I did, at one time, also have a purse made from a giant Bufo toad. It hung from a strap by its front legs and had a zipper in its belly. I gave it away years ago to a young relative who was absolutely besotted by it. I can only hope she carried on the family tradition of embarrassing your children.....