So I went to the craft store and found some flowers that matched the bag...
I cut the stem off as absolutely-positively short as I could!
I glued the flower back together (when you cut that much stem off, the flower just comes apart)
Then attached them to my bag over the ugly side of the new snap.
All done! No more diapers, receipts, wallet, or anything else falling out of my purse! Bonus: It's cute!