"Come on, it's a very '80s name, because there were tons of Jessicas in every school I went to. There's something great about having a unique name. It's a part of your identity."
She and husband Cash Warren welcomed Honor Marie Warren last month. Alba poses with Honor on the cover of OK!, and all three are featured in a photo spread inside the new issue. The magazine, which recently landed a million-dollar deal with new mom Jamie Lynn Spears, doesn't comment on its pacts with celebrities, though Alba reportedly sold the first shots of Honor to OK! for $1.5 million.
"It's still amazing that she was living inside of Jessica," said Warren, who met Alba on the set of the 2005 film "The Fantastic Four," which co-starred Alba as the Invisible Woman and employed Warren as a director's assistant.
Who will be the disciplinarian?
"I think we're pretty even," Alba said. "We're good at communicating and bouncing things off each other. We'll stick to our guns, even when she gives us pout face!"
Warren, however, aims to be the good cop: "I'll hide. Babe, you punish her!"
