If ever there was a chip off the old block it's Lily Allen, the hard-drinking, hell-raising pop star daughter of hard-drinking, hell-raising comedian Keith Allen.
The children of celebrity couples often seem to be subjected to more scrutiny than those with just one famous parent. See Peaches Geldof for example - a young woman who seems to have inherited her mother's taste for rock musicians and fast living.
Bianca Gascoigne was in the news recently when she was captured by TV cameras while falling-over-drunk on a photo shoot. We hope she doesn't have the same problems with booze as her step-dad, footballer Paul.
Like father, like son: Jack Osbourne first got drunk on whisky at 13 and was drinking and smoking cannabis regularly by 14. Not long after that he was in rehab for Oxycontin addiction and is claimed to have taken an heroin, booze and prescription pills overdose.
And it's not just the boys in the family. Jack's sister Kelly Osbourne was in rehab earlier this year for an unspecified addiction - and has twice previously been treated for addiction to painkillers too.
The adopted daughter of pop star Lionel Richie, Nicole Richie was spoilt during her parents' divorce and managed to become hooked on heroin by the age of 13. She has been in trouble for driving under the influence since - and was busted in possession of heroin in 2003.
Football legend George Best was renowned for his boozing and womanising - but his son Calum has mainly concentrated on the womanising. He was however, caught in a tabloid sting taking cocaine with two prostitutes shortly after the break-up of his relationship with Lindsay Lohan.
Perhaps the offspring of the biggest star of them all, Lisa Marie Presley was pampered as a child and had managed to get married four times by the age of 40. One of her ex-husbands is troubled pop legend Michael Jackson.
Daisy Lowe may have avoided the pitfalls of substance abuse, but was dragged into a celebrity maelstrom at a young age when a paternity test revealed her father was actually Bush rocker Gavin Rossdale - who had had a one-night stand with her mother Pearl Lowe.
Otis Ferry has gone off the rails in a different manner to most celeb offspring. The son of suave crooner Bryan Ferry has been arrested numerous times in his efforts as a pro-hunt campaigner - and is expected be tried for attempting to pervert the course of justice this year.