The kernel panic the ibook G4 is suffering from looks very much like a hardware issue, rather than anything your daughter has done to the mac. From my experience, a kernel panic that develops over and over again is either a memory fault or open firmware.
Check the open firmware first as this is eas to do:
Boot the mac, holding down command-option-o-f.
The mac will grey screen and come up with a command line interface.
Type in reset-nvram then hit return
Then type: reset-all and hit return again. The mac will automatically reboot.
If that does not work, I would suggest that it's a memory fault causing the kernel panic. I've seen this a lot where a memory stick has become dis-lodged and needs re-seating. Strange though as it would prevent you from even starting to install mac OS 10.4, which is very stringent about memory.
***Mod edit - Ad link removed from post*** rigel
Edited by rigel, 29 April 2006 - 03:59 PM.