Eric Dane & Rebecca Gayheart's Baby Name Revealed!
03/10/2010 AT 05:40 PM EST
Now they tell PEOPLE exclusively their bundle of joy is Billie Beatrice.
The Grey's Anatomy star, 37, and Gayheart, 38, welcomed their daughter earlier this month.
Dane previously said his wife wanted to "wait to see [the baby]" before picking a name. "You want to make sure that the name sticks."
– Blaine Zuckerman