Sam: One possibility that occurs to me is that since Tiger makes far heavier demands on your hardware than Jaguar did, there are fewer processor cycles and less RAM available to Classic in Tiger than there were on the same hardware, under the same circumstances, in Jaguar. Tiger's video processing requirements probably strain the iBook to its limits, leaving your game starved for video cycles too. Tiger's minimum RAM requirement of 256MB is really inadequate — you need 512MB or more to run Tiger well. And finally, if you have a small hard drive with less than 3-5GB of available space on it now, that's also part of your problem in all likelihood.
Is your iBook a G3 or a G4? What is its processor speed, and how much built-in memory (RAM) is installed in it?