I just went through this with Penny she got stung on her paw IN THE HOUSE i rushed her to ER vet and paid 90 dollars for them to pop the stinger out
look at her paw VERY close the stingers are TINY keep a close eye on her but if shes moving around shes already doing better. Penny had an allergic reaction pooped all over herself and went limp poor thing as long as your baby isnt doing this then i wouldnt worry give her the benadryl it really helps