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People Staff
June 09, 2008 AT 12:00 PM EDT

Long-time couple Jessica Alba and Cash Warren welcomed their firstborn on Saturday, June 7, at Cedars-Sinai in Los Ángeles, CA, confirmed the actress’ rep, Brad Cafarelli.

“She seemed relaxed and ready to welcome home her baby,” said a sourceto People.com.

With a clear view on how she’d like to raise her daughter, Alba recently told Fit Pregnancy, “I don’t want to be my child’s best friend. I want to be a mom. But I do want my child to come to me when they have problems and need to talk.”

Alba, 27, can now practice those parenting skills with her husband Warren, 31, who she wed in a quiet ceremony on May 19 in a Beverly Hills courthouse.

The two met while filming Fantastic Four, for which Warren was the assistant director. They became engaged in Decemeber 2007.

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