"I grew up as an only child, and although that really works for some people and for some parents that's the way they want to do it. And for some kids it gives them a great independence, it certainly did me," she said. But she added that she longed for a more hectic and crazy family life: "I want to be the Griswolds [from the "National Lampoon vacation" movies]," she said. " I want the kids in the back rolling their eyes at mom and dad. I want Rusty and Audrey, theme parks and the whole nine."
The actress -- who's had a tumultuous relationship with her mother, Jaid -- seems determined to give her kids a very different upbringing than she had.
Check out some of her best baby talk:
When her daughter was born last year, Barrymore told People that no one prepared her for how motherhood would feel: "You have the highest highs and yet you're facing the biggest fear of, 'How do I keep someone alive?'" she said. But she gushed that her baby was "like the biggest crush I've ever had in my life!"
Two months later, during an appearance on Ellen DeGeneres's talk show, the new mom said this about her newborn: "She's really interactive and happy and nice to people. She's a nice person!" (Ellen's hilarious retort: "You're kind of a little bit crazy right now, because she's only 10 weeks old.")
In an interview earlier this year with Oprah Winfrey, Barrymore said she won't hide her wild child past from her daughter, but she will explain it: "I will absolutely instill in her that you cannot be ashamed of the journey that it took to get where you are if you are proud of yourself," she said. "But I will also try and instill in her that I did not have guidance and that is why I lived my life that way. There is no option for her to take that path, because she has guidance."
As for Olive's school days, she said: "I will be there at 3 p.m. in the school line waiting to pick her up. I think that's, as a kid, what I craved the most... just believing that that was going to be there - [my mother] being there in that school line. I think the world offers so many wonderful varieties of obstacles, but that shouldn't be one for kids... the worry that 'my parent won't be there'."
Speaking of Olive, the proud mama dished to Leno about how she came up the name for her daughter: "My husband and I were reading a baby book and it would say, you know, 'Your baby is the size of a poppy seed,' or at one point it becomes an avocado," she explained. "But at this point it said 'Your baby is the size of an olive.' And, Olive is an anagram, it has 'I love' [in it]."
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