Okay, so I lost all the history of plays and ratings (sniff) and I have had to reconstruct the playlists (mostly easy, though some will need re-entering). But, barring some tunes shared by the George, it all seems to want to play on the iPod and I have managed to authorise this computer so that's good.
'Course, it would have been better to be able to deauthorise the old one first but since it died there wasn't much could be done about that.
Have been rediscovering some music via it as well. Lovely stuff!