(CBS News) Jessica Simpson's baby girl has arrived.

The singer/TV personality and her fiance, Eric Johnson, welcomed daughter Maxwell Drew Johnson on Tuesday in Los Angeles.

"Eric and I are elated to announce the birth of our baby girl, Maxwell Drew Johnson," Simpson wrote on her website. "We are grateful for all the love, support and prayers we have received. This has been the greatest experience of our lives!!"

The baby girl weighed in at 9 pounds, 13 ounces, and is 21 3/4 inches long. Maxwell is Johnson's middle name and Drew is Simpson's mother's maiden name, according to reports.

Simpson announced the pregnancy on Halloween, sharing a photo of herself dressed in a mummy costume with the caption, "It's true - I'm going to be a mummy." In March, she revealed that the couple was expecting a baby girl.

Simpson, 31, and Johnson, 32, got engaged in November 2010.