Kim Kardashian and Kanye West welcomed a new baby girl on Saturday.

Kardashian gave birth at Cedars-Sinai in West Hollywood, California. The new arrival is reported to be five weeks early. It will also be a busy week for West who along with celebrating his first Father's Day today, has a new album coming out on Tuesday.

The big question: What is the baby girl's name? The name has been kept under wraps. Share your thoughts below on what you think the name could be.