My first dog was a Westie. Got her when I was five. She was supposed to have puppies with the male Westie next store. But, George was old, and wasn't interested in Georgia (my dog). Alas, no star-crossed lovers.
It's called the "teddy bear dog." Half shih-tzu and half bichon frise. In Canada we refer to the Shih-Tzu and Bichon Frise cross as Mollydogs instead of teddy bear dogs. I have two of them and they are wonderful.