(Cover) - EN Showbiz - Jessica Simpson says she's "elated" to have finally given birth to her daughter.

The 31-year-old fashion mogul and fianc Eric Johnson welcomed Maxwell Drew Johnson in Los Angeles on Tuesday morning.

Jessica wrote about the happy news on her website and revealed that her baby weighed in at a very healthy size.

"Eric and I are elated to announce the birth of our baby Maxwell Drew Johnson 9lbs. 13oz. 21 ," Jessica said of the birth weight and length.

"We are so grateful for all of the love, support and prayers we have received. This has been the greatest experience of our lives!"

Maxwell's middle name comes from Jessica's mother Tina, whose maiden name is Drew.

Jessica and Eric, 32, got engaged in November 2010 after just six months of dating. They have not set a wedding date yet as they were waiting until after their first child was born.

Jessica was previously married to Nick Lachey who is also expecting his first child with wife Vanessa later this year. (C) Cover Media