Yeah those paper liners won't hold up on their own. If you ever have a cake/cupcake fail again you can always turn it into a trifle. Layer cake cubes with whipping cream or pudding and fresh fruit in either a big bowl or individual cups and no one will be the wiser :)
The are for a pre-school class of 3 year old's end of the school year picnic. I don't think they'll mind too much. Oh, and my husband says they are delicious. He ate the ugliest ones last night. His little way of helping.
Muffin tins for those types of liners or you can get the ones w/ the aluminum liner on the outside would help. But, I think you should call them "comma" shaped cupcakes and make it a learning experience! I'll bet the kids loved them anyway.