Here's the full Top 20, with the offending parents in brackets:

1. Moon Unit (Frank and Gail Zappa)
2. Fifi Trixibelle (Paula Yates and Bob Geldof)
3. Satchel (Mia Farrow and Woody Allen)
4. Apple (Gwyneth Paltrow and Chris Martin)
5. Daisy Boo (Julia and Jamie Oliver)
6. Rumer (Demi Moore and Bruce Willis)
7. Peaches (Paula Yates and Bob Geldof)
8. River (Arlyn and John Phoenix)
9. Rocco (Madonna and Guy Ritchie)
10. Nell Marmalade (Helen Baxendale and David Eliot)
11. Maddox (adopted by Angelina Jolie)
12. Tiger Lily Heavenly Hirani (Paula Yates and Michael Hutchence)
13. Dweezil (Frank/Gail Zappa)
14. Brooklyn (Victoria/David Beckham)
15. Eugenie (Sarah Ferguson/Prince Andrew)
16. Zowie (Angie and David Bowie)
17. Rolan (Gloria Jones and Marc Bolan)
18. Phoenix Chi (Mel C and Jimmy Gulzar)
19. Coco (Courtney Cox and David Arquette)
20. Romeo (Victoria and David Beckham