Good point, the toy should be taken away from Mia when children are around if she is possessive over it.
Being possessive over items isn't a good thing though. Nip it in the bud now.
When my border collie puppy had a bone I used to make my kids , who were younger then , remove the bone and she grew up to learn that was the norm.We do the same now with our furbaby.
When we have doggy visitors all toys and bones are left on the floor to be shared.
Anyone should be able to remove an item away from a dog without getting growled at or bitten ,the last thing you need is for her to get possessive over you.