BETWEEN takes on Jurassic Park 3, her daughter West spent time chasing peacocks in Hawaii and hanging out alongside her mother in the make-up trailer. "She'd have her own blood, scabs and scars just like mine for the film. The funniest day was when we were filming at Universal Studios and there we were, walking along, blood dripping down the both of us. Right at that moment, the tour train came by and I realised, 'Oh my God, what are these people going to think? There's Téa Leoni having just beaten her child!' The other funny thing was when I fell down on the tennis court the other day and got quite a good scrape on my knee and she just looked at me and said, 'Well wipe it off.'"