She was just 11 years old when her mother died from an accidental heroin overdose.
And with her reputation for wild nights out and rock star boyfriends, comparisons with Paula Yates have been drawn.
But Peaches Geldof has given a rare insight into her memories of her ‘beautiful’ mother – and insisted she is not following in her footsteps.
‘I don’t take inspiration from my mother. She was great, but she was my mother,’ the teenager said.
‘I’m not voyeuristic into her life and I’m not trying to copy her. I just want her to be at peace.’
Peaches, 19, spoke about her late mother during an interview with Hello magazine and recalled her childhood memories of the outspoken TV presenter.
Like a star: A young Peaches with her TV presenter mother
‘I remember her being very beautiful when I was young,’ she said.
‘Those things faded as she got heavily into addiction, but before then she was so witty.
‘She was so fashionable. Like a star.’
Yates, who battled depression, drugs and alcohol, died aged 41 on September 17, 2000.
She was found naked in bed, with powdered heroin and a rolled-up ?5 note containing cocaine on her bedside table.
Autopsy results proved inconclusive, but an inquest ruled she died from an accidental heroin overdose.
When Peaches collapsed from a suspected drug overdose in July this year, people feared she had developed her mother’s addictions.
And when she married musician Max Drummey in a Las Vegas ceremony the following month, friends claimed she was spiraling out of control.
But the teenager told Hello she would be spending Christmas at her father Bob Geldof’s country home in Kent, rather than with her new husband.
‘It's tradition for me to be at my dad's house with my family, and the same for Max to be with his,’ she said.
‘We see each other all the time, so that's fine with us. It's what other young couples do, and it's only for four days.’
Peaches married Drummey, a member of American band Chester French, at a Las Vegas wedding chapel in August, after a whirlwind romance of just a few weeks.
The ‘quickie’ ceremony, which lasted just a matter of minutes, took place at the Little White Wedding Chapel, with the Reverend Stephen Fabretti officiating.
Mr Fabretti said: ‘They both looked very young. They were cuddling and kissing and didn’t look in the slightest bit nervous.’
The full interview with Peaches is in this week's Hello! magazine
The Little White Wedding Chapel is world famous for rapid celebrity weddings. Britney Spears, Joan Collins and Bruce Willis and Demi Moore have all tied the knot there.
When news of Peaches’ nuptials broke, Bob Geldof, who has always jumped to his daughter’s defence, released a statement giving the marriage his blessing.
Giving an insight into her family life, Peaches told Hello! that her father takes Christmas very seriously, to compensate for his ‘deprived Irish childhood’.
‘I think it's more for him, but it's very sweet,’ she said. ‘He leaves stockings for us all at the end of the bed.
‘It's like... er, dad I am almost 20, really! And then he puts all the presents under the tree and we open them in the morning.
‘My dad does all the cooking and we have a turkey dinner, and sit in front of the log fire.’