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Jessica Simpson gives birth to baby girl Maxwell Drew Johnson

Welcome to the world, Maxwell!

Jessica Simpson gave birth to a baby girl, Maxwell Drew Johnson, in L.A. Tuesday morning, Us Weekly can confirm. This is her first child with fiance Eric Johnson. According to a source, little Maxwell (she takes her middle name from her maternal grandmother, Tina Simpson, whose maiden name is Drew) weighed in a 9 lbs. 13 ounces. “Mother and baby are doing just fine,” the source tells Us.

After just six months of dating, Simpson, 31, and Johnson, 32, got engaged in November 2010. The pair–who have yet to set a wedding date–had planned to hold off on making it official until after their baby’s arrival. Rushing down the aisle isn’t a priority for the star and her former NFL player beau, anyway; during a March appearance on Jimmy Kimmel’s show, Simpson told the host that Johnson “feels like my husband already.”

Full story: Jessica Simpson gives birth to baby girl Maxwell Drew Johnson