You are so right. Gosh, that scares me, because I've seen other pit-bull mixes be very aggressive and turn on a dime, when no one expected it. I'm not sure it's just a pit-bull thing, because I have seen lab mixes do that, too. And, under certain circumstances, any dog is capable of turning and attacking another dog, cat, human, or other living thing. People have to understand the survival and competitive instincts in dogs, and other animals.
I hope that your daughter will find another home for the dog, for her child's sake, and for the dog's. The dog needs space to run more than it needs to be overly domesticated, and I don't even want to think about what could happen to the child. Recently, my friend's dog bit into my small dog's neck, and it was my fault, because I was giving them treats at the same time, and it became a competition for them. He bit into my dog's neck, and tore his ear up. My dog didn't even know what had happened. Oddly, the bigger male dog didn't attack my female dog. I have seen two pit bull mixes, who lived and played together for three or four years, nearly kill each other because an unsuspecting person tried to give them both a treat. I should have known better.
"The pure and simple truth is rarely pure and never simple." ~ Oscar Wilde