Jessica Simpson is a mama!

Simpson and her fiancé, Eric Johnson, welcomed a baby girl on May 1.

The star made the announcement on her website:

“Eric and I are elated to announce the birth of our baby girl, Maxwell Drew Johnson,”  it says.

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

Baby Max weighed in at 9 lbs. 13 oz. and is 21 ¾ inches long.

The inspiration for the baby’s name?  Maxwell is Johnson’s middle name and Drew is Simpson’s mother Tina’s maiden name.  Max Drew?  Sounds pretty masculine to me but it seems to be the trend these days!

Simpson, 31, and Johnson, 32, began dating in May of 2010 and were engaged six months later.

Congrats to the happy couple!