Jessica Alba's baby girl's name is Honor Marie. But no pix, please!

Jessica Alba and Cash Warren welcomed their first child Sunday.

A daughter was born at Cedars Sinai Medical Center.

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.

Photos: Jessica and Cash at the Celebration of Mentoring on May 20.
WireImage