Amanda Peet Debuts Baby Girl!

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Surely, Amanda Peet is having a wonderful Mother's Day.

Earlier this week, the Please Give actress, 38, showed their first photos of her newborn daughter Molly on the Late Show With David Letterman, Britain's Daily Mail points out.

"This our first video of Molly June, she's a few days old. It breaks my heart," she told him of her little girl, born Apr. 19 in NYC. "This is the video where we realize she's in the state of life where you basically think that everything is a boob."

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As for the baby's name, Peet said she and her screenwriter-husband David Benioff "had a hard time" picking it and "were fighting about it a lot. You can't leave the hospital until you sign a paper with the name, so we got right up to the point where the nurse was trying to usher us out of the hospital and the car seat was in the car, and we still couldn't choose between Maya June and Molly June," she explained.

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"Finally David my husband tore off two bits of paper and wrote a name on each and put them behind his back, and I chose one of them and it was Maya – then I got really upset!" she said.

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The two — who also have a daughter Frances, 3 — then quickly agreed on Molly.

Peet hit the red carpet just eight days after giving birth.

"So far, so good!" she told when asked about her baby girl. "She's great. I'm in love with her!"

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