Thanks for the feedback guys.
I installed Seamonkey, and that does a slightly better job with Flash. If I'm not doing anything else on the machine (including not even moving the mouse pointer around on-screen), then Flash playback is smoother, but still not 100%.
I'll have to ponder my next move, as I can't afford to spend too much on this box to get it up to scratch - I know what you mean, speedbug78! I've had the same problem with other machines, which were close, but no amount of extra expenditure would quite get them there.
The next acid test is DVD playback from an external USB DVD drive. I'm not looking forward to this one, as I suspect it'll be a fail, but fingers crossed...
Rich: Once the video has fully downloaded after the first playthrough, and I replay it, playback is slightly smoother, but still, anything like mouse-pointer movement on-screen slows replay back down. Reminds me of my girlfriend's old but still fully functional Dell Inspiron with onboard graphics and Centrino 1.8GHz running XP SP3: basically, choppy with Flash if you're doing anything else.
curaga: a couple of times, I had problems getting the install even onto the DOM - it didn't seem to install at all for some reason. Then, once it had sort of installed, a message appeared while booting saying something along the lines of, 'Verifying DMI Pool data - success', but then it just hung. A couple of times, trying to install from the installer tool on the Wbar, it stopped recognising the external USB CD drive I was using, despite having booted off it, and not having plugged any USB sticks or anything else USB in after the boot.