When is this breeding going to happen? How old it the dog? How long has she been breeding? I hope she is very careful with who she breeds her dog to. I've seen some pretty bad looking Bichon's that weren't of good breeding backgrounds.
Are you planning on getting a male or female? Good luck.
How about Leia (for Princess Leia in the first Star Wars in which she wears all white) for a girl? I like Cookie too. For a boy, how about Curly or Bear? I named my Shih-tzu x Bichon, who is all white and looks mostly like a Bichon, Kiri, which is 'mountain' in Cambodian. There's also Keilana which is 'deity' in Hawaiian. Casper would be a cute name for a boy, after the friendly ghost.
In order to really enjoy a dog, one doesn't merely try to train him to be semi human. The point of it is to open oneself to the possibility of becoming partly a dog. ~Edward Hoagland