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HOLLYWOOD – Though she’s been acting since she was 16, Liv Tyler doesn’t revel in the limelight.

The star of films like the “Lord of the Rings” trio, “The Incredible Hulk,” “Jersey Girl” and “That Thing You Do” says, “I never wanted to be an ‘actor,’ to be the superstar, to be the center of attention.

“I always wanted to be working with groups of people that would teach me and elevate me and inspire me so I always sort of thrive in the company of other people,” she says, seated in the living room of the famous Chateau Marmont.

She fulfills that wish on Sunday when she stars in HBO’s spooky new series, “The Leftovers,” a mysterious tale about the unexplained disappearance of 2 percent of the population and a cultish group that tries to gain control.

Tyler plays one of the “leftovers” who’s being cultivated by the cult. But just before the script arrived, she was considering quitting.

“I started praying to the universe: ‘Tell me now, am I meant to keep going, keep focusing on being an actress or am I meant to pursue my other passions and dreams?’ I think being second generation to the entertainment industry and being bitten by the bug, that happens when you’re a performer in some kind of way,” says Tyler, sipping Earl Gray tea.

“It’s made me a little bit head shy about the whole experience of fame and attention. I’m kind of shy in a lot of ways and don’t like a lot of attention, which is strange. Whenever I get a lot of attention, I get a little bit like, ‘OK, thanks, thanks, thanks.’ It kind of goes in one ear and out the other. And I just want to take my high heels off and crawl back to my room.”

But she’s never been able to do that. Born to model-singer Bebe Buell, she is the biological daughter of Steven Tyler of Aerosmith fame, though her mother lived with musician Todd Rundgren at the time of her birth. She thought Rundgren was her father until she was 8.

“I think I’ve always wanted to have some kind of a normal life just growing up in the household of entertainers and seeing that experience, because it’s very extreme,” she nods.

“I’ve tried very hard in my life to keep something sacred for myself and sort of private.”

She aims to foster that balance for her 9-year-old son, Milo. “I actually just bought a country house; I found a place that I felt good about so that’s our next adventure to sort of incorporate that into our life … I’m always dreaming of moving to the country on a farm with Milo where he can be totally free and I can be totally dedicated to being his mom. That’s my secret fantasy.”

Tyler, 36, is divorced from British musician Royston Langdon. “When Roy and I got divorced I went through that whole period – I really had to retreat for a couple of years to sort of heal that and make sure that I was OK and that he was OK and Milo was OK,” she said.

“I think it’s easy to sort of sublimate all those feelings and just go into work and try to avoid those feelings … When things come up for me I have to go toward them instead of away from them. My dad always said when I was a little girl, I never forgot it: ‘There’s no way out but through.’

“And I always think about that when things come up. Be brave and deal with this NOW. And go fight the beast and slay the dragon.”

“The Leftovers” marks her first venture into television, an adjustment from film work. “I’m used to seeing a whole script and knowing the whole schedule,” she said.

“With this we get the script five days before an episode, so we’re all waiting. At first that was tricky for me being comfortable with being uncomfortable. But now I love it because it’s an incredible challenge, and I don’t have that much time to think about it. The truth is that’s how we are as people. We don’t really know what’s going to happen tomorrow or next week.”-