How old is your baby, what type of dogs are they and how old are they. What has changed for them since the baby arrived> ie. sleeping area, where they are allowed to go, feed time, less walks, less attention from you?

If you can answer some of these questions, I can try and help you with your situation.

IMO Putting a dog down just because an owner is worried is not an option. There are other ways to resolve the situation so that everyone is happy and everyone can live.