Rocker: Tony Allen is the front man of Dead Stays Alive
Stephanie's lawyers ask the court to keep secret details of a 'Post-Nuptial Agreement' between Tony and the heiress whose family founded the Lincolnshire-based Linpac packaging company which makes boxes for McDonald's.
They also ask for the financial agreement which was entered into on November 18, 2005 - eleven months after their marriage - to be enforced.
A huge amount of money could be at stake as Stephanie's dad and his four sisters sold Linpac in 2002 netting the family a cool 720 million fortune and still kept a 140 million stake in the company.
In her affidavit to the court Stephanie says: "The Post-Nuptial Agreement sets forth my separate property and also defines and sets forth what is considered marital property."
She continues: "My husband entered a drug rehabilitation centre in Utah...on or about July 11, 2007. After my husband's return from said rehabilitation I was bombarded by telephone call alerting me to the fact that my husband's conduct with another woman was on the internet and in gossip magazines.
I am in fear that if my financial circumstances become public record, reporters will be camped outside my home. I am in fear for the safety and well being of my family including my children."
Stephanie is said to have been "devasted" by the allegations that Tony had sex with Lohan in a toilet and booted him out of their home.
A friend reportedly said: "She has had it, period. They tried forever to have kids. She went through IVF three times and suffered two miscarriages, and when they finally got two beautiful babies, he hooks up in rehab with a girl half his age."
Tony has denied the Lohan sex claims, saying: "We're great friends. We share a common affliction, and we just talk about life sometimes."
But another report claims that when mates in a bar quizzed him about it, he boasted: "C'mon, it's Lindsay Lohan. Hell, yes! Wouldn't you?"
In one of the internet reports provided to the court, Lohan is said to have written to a friend: "I met a guy, Super sweet and caring."
But, she added: "He's got someone, and I don't want to come between any relationship. I'd hate to be the other woman." Her representatives insist Lohan has not written about a rumoured romance.
In July Lohan was arrested for drink-driving and cocaine possession after a 2am car chase in Santa Monica, California, in which she pursued the terrified mum of her recently-resigned personal assistant.