Awww, poor Princess! I don't know if cats are like this, but I know dogs and other "pack" animals usually have an Alpha and an Omega within their group. The Omega is usually the one that gets beat up all the time and this may be Princess's position. I didn't think cats were pack-type animals, but maybe it's something similar to this. I would definitely keep her in and away from those who are picking on her. She may just start feeling comfortable and gain a little confidence. It's no wonder she seeks out your lap because that might be the only safe place in the house. I always have a soft spot for the underdog, so I feel so bad for poor little Princess.