The pair - who failed to reach an agreement over their divorce settlement at London's High Court and are now waiting for the judge's verdict - are reportedly locked in another bitter argument over Paul's decision to ask Beatrice's half-sister Stella to sit on the board of trustees who will look after four-year-old's future.
Heather, who is sworn enemies with fashion designer Stella, Paul's 36-year-old daughter with his beloved late wife Linda, was allegedly livid when she heard of the plans, screaming: "Keep that woman away from my daughter and my life."
A source told Britain's News of the World newspaper: "Heather wants none of it and has told Paul in no uncertain terms that she will fight any role Stella has in Bea's life to the bitter end, even if that means taking it to court."
Meanwhile, Heather is allegedly set to star in her own TV cookery show.
The 40-year-old former model plans to use the series to educate people on how to live a healthy vegan lifestyle - vegans eats no animal products at all, including milk, eggs and cheese.
A source told Britain's Sunday Mirror newspaper: "Heather thinks a cooking show will give her a caring sexy image."
"She is passionate about being a vegan and loves being in the limelight, she is determined to be a big star."
