Everyones' comments on housebreaking were good ones. As for the naming, Karen suggested letting your daughter help with the name. I think that's a wonderful idea. The kids I used to babysit for got 2 toy poodles and the kids got to name them....the boy named "his poodle" Rockey (it's a boy thing ) and the girl named hers Lady. The kids really enjoyed that. I think the names were goofey but they were though up by these sweet kids and it made their names special.

As for little names, I don't know how well this would fit for a dog, but I had a newborn lizzard whom I named Tweezer, because he was so teeny and cute. Bitzie is cute. I think tiny names are cute for tiny dogs. Thumbalina, as Christy suggested is real cute.

Maybe come up with a few that you like and present them to your little girl and see what she thinks.

Best of luck, and have fun with your new little pocket pup