It looks like we've successfully placed Angie in a new home.
When I got off work yesterday, der Brucer had Angie in the car with him. The parents of a nine-year-old girl had made contact, and wanted their little girl to meet our little girl and see if they were a good match. They were indeed. Dad clearly has had experience in training dogs, and spent nearly an hour with Angie coaching her on sitting, staying, coming. He'll most likely get Daughter involved in the training as well, teaching her how to assert herself. We left Angie with her new family, feeling good about her new surroundings.
So we're back to a family of two humans and five dogs. That's not likely to last very long.