**File Photo** * REPORT - ALBA GIVES BIRTH TO BABY GIRL JESSICA ALBA has reportedly welcomed a baby girl into the world, becoming a first-time parent with her husband CASH WARREN. The Hollywood couple are celebrating the birth of a baby girl, who was born on Sunday (08Jun09) at Los Angeles' Cedars Sinai Medical Center, according to America's Us Weekly. The tot's name is unknown, as is the weight of the child. The Sin City beauty married beau Cash Warren last month (May08) in a secret ceremony, failing to invite even close friends and family. The pair met in 2004 on the set of blockbuster The Fantastic Four. Alba and Warren recently moved into a $4 million (£2million) mansion in L.A. in preparation of their first child, and Alba admits it is set to be a busy year. She says, "It's a lot of stress to buy a house, have a baby and get married in six months," she recently told USA Weekend. "It's a lot of life-changing decisions. I'm really, really secure." A representative for the couple was unavailable for comment as - goes to press. (MJ/US) USA.