Maxwell has arrived!

Jessica Simpson and Eric Johnson  © Jamie McCarthy/WireImage

Jessica Simpson and fiancé Eric Johnson have welcomed their daughter into the world, today, May 1st. Jessica, 31, announced the birth of their baby girl on her website. She wrote, "Eric and I are elated to announce the birth of our baby girl, Maxwell Drew Johnson." Maxwell is 21¾ inches long and weighed in at 9 lbs. 13 oz. "We are grateful for all the love, support and prayers we have received. This has been the greatest experience of our lives!!"

Jessica previously announced that the couple were expecting a girl. At the time she confirmed the couple had a name, but didn't want to reveal it. The name Maxwell had been swirling around, because of the ties to Eric's family. Maxwell is Eric's middle name and his grandma's maiden name. Drew is the maiden name of Tina, Jessica's mom.

Jessica and Eric, 32, started dating in May 2010 and were engaged six months later. The couple had been starting planning their wedding, when Jessica found out that she was pregnant. The couple put the wedding plans on ice, so that they will be able to "enjoy that day", as Jessica previously said. As an added bonus, "now I get to have the baby with me."

UPDATE May 30th, 2012: See the first photo of Jessica with Maxwell here.