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Jessica Simpson's name for her baby girl, Maxwell Drew Johnson, has received mixed reviews from her fans. But the name is very special to her family!

The new mom and her fiance, Eric Johnson, welcomed Maxwell into the world on Tuesday morning. Announcing the birth on her website, the singer and designer wrote, "Eric and I are elated to announce the birth of our baby Maxwell Drew Johnson 9 pounds, 13 ounces, 21 3/4."

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Both the Johnson and Simpson family names are carried on with the couple's new daughter. Maxwell is Eric's middle name and his grandmother's surname. Maxwell takes her middle name from maternal grandmother Tina Simpson, whose maiden name is Drew.

Without revealing the name, Simpson talked about the baby name in the April issue of Elle saying, "It's nothing shocking and nothing you'll have to add to the dictionary. Still, when people hear it they'll know … why."

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Us Weekly Twitter followers were mixed on the name Maxwell Drew for a baby girl.

"Not loving the double masculine name," one follower tweeted. Another wrote, "Isn't the baby a girl? 'Her name sounds like a coffee brand' -- my mom.' "

But others tweeted: "Love the name" and "I love unisex names for girls."

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