The 33-year-old actress gave birth to her first child with Daniel Gillies, 37, on September 29, reported E!Online.
"It's a girl. The tiny new empress of my everything. She's immaculate. We're delirious," Gillies announced after the birth.
The baby came after the couple's nine years of marriage. However, Cook had not announced her pregnancy until May this year.
"We're both people who like kids, but we weren't jumping up and down, like, 'Oh my God, let's start that chapter of our lives .There was just so much more both of us wanted to do," she had said earlier this year.
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