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."
24.com publishes all comments posted on articles provided that they adhere to our Comments Policy. Should you wish to report a comment for editorial review, please do so by clicking the 'Report Comment' button to the right of each comment.
Taylor Swift shows off her unique style on the cover of British Vogue magazine. Read More »
Ed Sheeran once dedicated his hit The A Team , written about a crack-addicted prostitute, to British Prime Minister David Cameron. Read More »
Ready for the Daisies!
Sunnies and beer!
Rocking the Daisies!
A candid quickie!
Cape WinelandsInitiate InternationalR35 000 - R55 000 Per Month
Cape Town Southern SuburbsInitiate InternationalR15 000 - R17 000 Per Month
Cape TownHire Resolve
HousesR 4 500 000
HousesR 840 000
Apartments / FlatsR 1 095 000