10 mg is not really that low of a dose depending on her weight. >>Typically the drug is given in a dosage of 0.5 to 0.9 mg per pound orally once per day. So, for example, a 30 pound dog would probably get somewhere between 15 and 27 mg per day.<< Because of side effects, most vets try to avoid top dosage. They could try amitriptyline. It has a more sedative effect.
This is why crate training early on is so important... because if they aren't used to it and you NEED it, it can be a crisis. Using newbsnjbby's method for adjusting to the crate is classic retraining. It is going to take a while.
You have the right response with the kids.. let them become her only food source, treats, and if she goes into a fenced yard to potty or play, they control the door. I also would make the couch off limits at all times until this is totally turned around. And, because children are involved, consulting with a behaviorist might be the most prudent advice.