LOS ANGELES -  Jessica Alba and husband Cash Warren have welcomed a baby girl. Honor Marie Warren was born June 7 in Los Angeles, her rep, Brad Cafarelli, confirmed for People magazine. This is the couple's first child. Alba, 27, and Warren, 31, wed on May 19 at the Beverly Hills courthouse. The two met while working on "Fantastic Four," for which Warren was the director's assistant. They became engaged last December. Seen shopping recently in Los Angeles, a source said Alba "seemed relaxed" and "ready to welcome home her baby." As for the kind of parent she plans to be, the actress recently told Fit Pregnancy: "I don't want to be my child's best friend. I want to be a mom," she said.  "But I do want my child to come to me when they have problems and need to talk, so it's going to be about treading that line." Alba charts high in men's magazines' lists of the "sexiest" women in the world. She was No. 1 to FHM readers last year, and dropped to No. 3 this year.                      - FOX NEWS