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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