Her name is Honor Marie Warren.
Strangely, no $10-million offers for the Alba/Warren baby pix, unlike Angelina Jolie and Brad Pitt's reported 12-million-to-20-million offers from OK! and People.
On offers, Jessica told the New York Daily News, "I haven't really gotten any - not that I'm aware of. You have to understand, everything that is written is kind of bull..."
Who cares? A healthy baby girl is priceless.
[Source]
