Femme,
It's called a Shih Tzu!!

I have a Lhasa-shih (half Lhasa Apso and half Shih Tzu) and a full bred Shih Tzu. Gotta love them. Mine are both about 3 years old. I left them out of their crates yesterday when I was gone for about 2 hours, and I was SO PROUD because no one peed or pooped on my floor. They're not super smart, but they are so cute.
Your baby is adorable!