Jemima Khan- has said she fears her children will be bullied after it was falsely claimed on Twitter she had been involved in a relationship with- Jeremy Clarkson, which was then the subject of a super injunction.
She added an hour later that she had received supportive texts from both Mr Clarkson and his second wife Francie.
Miss Khan said the Top Gear presenter had joked: “It's odd. I'm sure I'd remember if any photos of us existed."
The mother of two said her sons from her marriage to former Pakistan cricket captain Imran Khan – would be affected by her name being connected to such a rumour.
Later in the day, she wrote on Twitter: “I hope the people who made this story up realise that my sons will be bullied at school because of it. Plus I'm getting vile hate tweets.”
One supporter suggested that Mr Clarkson should turn up at the boys’ school and sign autographs to impress the other- pupils.
Referring to her eldest son Sulaiman, Miss Khan replied: “My 14-year-old would never speak to me again. He’s painfully shy and hates any fuss.”
She also made the point that the reason her name had been widely published was because newspapers could refer to her without fear of legal- action.
“The proof that I haven't got a super injunction is that the papers have printed my name (and no one else's – for fear of being sued).”
Miss Khan is regular on Twitter, with 55,000 followers last week.
In the wake of the allegations relating to super-injuctions, that figure had increased to nearly 60,000 by last night.
She was not available at her office in south west London yesterday, nor at the family home in nearby Richmond.
Among those to offer support on the social networking site were Kirstie Allsopp, the television presenter, who listed some of Miss Khan’s former relationships.
"Luke, Imran, Hugh, Ben, Jeremy — Spot the odd one out? No one in their right mind would have believed it."
Among those referred to by Miss Allsopp were Miss Khan’s former husband and Hugh Grant, the actor.
Last week the BBC Sport presenter, Gabby Logan, was forced to deny false rumours circulating on the internet that she had obtained a privacy injunction to cover up an alleged affair with the ex-England football captain- Alan Shearer.
Mother of two Mrs Logan, who is married to the Scotland rugby international Kenny Logan, said it was “devastating and hurtful” that she had been smeared by lies on the- internet and Twitter.
Mrs Logan said: “I’m a happily married and faithful wife. It is devastating and hurtful that malicious lies can be circulated on the internet without control when people who genuinely do have something to hide can be protected by court -rulings.”
Other innocent people have also seen their reputations damaged by false rumours circulating on websites and social networking- pages.
Film star Ewan McGregor was wrongly named on the internet as the actor who had won a privacy injunction to hide claims he had slept with a- prostitute.