I'm sorry Beowulf, but you don't sound rational to me. Or all that polite yourself.
Back to the OP's dog -- since the child is so young I wouldn't give the dog anything it felt the need to guard. Perhaps the dog is "afraid" of having its chew taken away but it's not afraid of the child. Thus the growling. Otherwise it would run off with the chew in its mouth. I doubt that the child had the dog so firmly cornered that there was no possibility of escape. (insert eye roll here)