Thanks everyone! We got the Nuk cup, but she won't take that one with milk either. I didn't offer water in it, because she has three different cups that she already gets water from and I don't want to confuse the heck out of her!
Out of curiosity has anyone tried the Nuby 3 stage bottle? It is a bottle with bottle nipple, then you can screw in a sippy nipple, and I don't know what the third stage is - a handle maybe.