However, her parents have now changed their mind after she managed to convince them it was a good idea.
Lizzy - who appears on the front cover with just her long brunette hair and a see-through piece of material protecting her modesty - said: "They understood that when you don't know when you're going to have kids, it's nice to have wonderful pictures of your 20-something self. And at 27, I feel comfortable expressing myself through my body. I'm kind of a topless person. I'm quite European."
A year after Lizzy was born, her mother Jerry posed on the front cover of the publication when she was 29.
Last year, Lizzy spoke of her desire to do a naked photo shoot before she became a mother.
Recalling her first offer from Playboy, Lizzy said: "I wasn't willing to do fully naked photos. You have to show your breasts and the top half of your bottom. I didn't have a problem with topless, and now, at 26, I'm thinking I should do naked pictures before I have children."
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South AfricaVitality RSA Systems
TownhousesR 1 750 000
TownhousesR 1 280 000
Apartments / FlatsR 1 690 000