[yipyap]

I agree that it would be helpful for the trainer to watch your family and your dogs at your own home. That is their own territory and it is where the trainer may pick up on those dog "posturing" or "challenge signals" that one of your dogs may be giving to the other dog. I used to love to watch the t.v. show, The Dog Whisperer, on National Geographic Channel, and Caser (the trainer) had a lot of dog aggression issues that he had to work out for owners and their dogs. He often had them go on walks together on their leashes, and it soon became apparent which dog thought it was "the boss" or "alpha dog", because that dog often tried to nip at the other dog if it tried to get next to the owner. The alpha dog felt it was the "leader of the whole family group" and not their human owner! You said the dogs were really spoiled. It may be that one of your dogs feels she is the boss and not you. Therefore, she is going to try to dominate the other dog and try to control its ability to get near your daughter or you. I wish I could remember Caser's method to help a family that had several small dogs and there was biting going on between their dogs, too. He got across to the biting dog that it was NOT okay to bite the other dogs...ever. See if you can watch some of his shows on your t.v. and ask your trainer What you need to be doing at home to "defuse situations ahead of time", so it doesn't escalate into this biting. It seems that the trainer should be able to give you things to watch for, so you can say "No" in firm voice and take control before the attack starts.