I had the same exact situation with a JRT. One day my son (5YO) was sitting on the floor eating popcorn. The dog was around, wasn't being fed the popcorn. My son stood up, bent over and picked up the popcorn bowl and the dog snapped at his face.
The dog was gone the next day.
She does’nt mess with the kids she treats them as part of her pack,but if she did she would need to go. I’m not big on having animals in the house so after she goes I don’t think I will get another one.
That is exactly what a responsible dog owner should do in that situation...reagardless of breed.