Jessica Simpson Presents: Baby Maxwell Drew!

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Jessica Simpson, who became a first-time mother May 1, has debuted her baby daughter Maxwell Drew Simpson on the cover of People magazine.

Since she arrived, "life has completely changed," Jessica says. "From how I sleep to what I think about, Maxwell has definitely taken over everything!"

Here's mom and daughter looking beautiful on the cover:

Jessica Simpson, Baby

Simpson and Johnson gave People an exclusive interview, along with photos of little ball Maxi, who's inherited her mom's eyes and her dad's demeanor.

Recovering from surgery - she delivered via C-section - hasn't been easy, Jess says, and nursing, which she does throughout the day, is now "a full-on job."

Only 3-5 more years to go, according to attachment parenting proponents.

Still, she says, "It's the worst if I have to pump and give Eric a bottle to give her," says Simpson. "I miss holding her and having that closeness."

"We just stare at her all the time. We can't get enough!"

Nor can we. Go buy People for more cute photos!

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Adorable. congradulations simpson familey

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shouldnt matter what the babies name is, she is beautiful and healthy thats all that matters. people get over ur self

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I don't care for the babys name either, but shes not my child so it doesn't much matter what they call her. Its a family name from what I have read. Also it could be a lot worse, at least Jessica stayed away from names like Apple or Blue Ivy!!!

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Wow how low can a person be, to make mean comments about a newborn baby??!! All babies are beautiful and the important thing is that the family above is happy and their gorgeous baby girl is healthy!! What is with people thinking they are so perfect that it gives them the right to tear someone else down or in this case, make negative comments about someones child!! What a shallow and sad world we live in.

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....who names a girl "Maxwell"?

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help!!!..

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woah. That baby got hit with the ugly stick.

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Praying for a full happy healthy life for the child.

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Your article says the baby's last name is Simpson but the magazine cover says it's Johnson. Get it right.