Thank you, gentlemen. RealVNC does the job very nicely, and the presentation, in its own viewer, is far superior to that of LogMeIn.com which runs in a browser and doesn't have brilliant resolution.

try pressing full screen button, it looks fine then. As for speeds I control a home pc via my iPhone on logmein, with a 3G connection it's fine. I've even used it on GPRS (56k) and it's still useable
If you had read OP, he didn't need an Internet capable system, just one for local LAN. Thus logmein is unsuitable. VNC sounds like it did the job though 
Regrettably, VNC has let me down BADLY! The visible reason my old software wouldn't run on XP was because it didn't seem to handle the input properly, resulting in the database getting corrupted. Dates got overwritten.
Using VNC I just updated the tree on the W2K system from the XP remote desktop. The XP error occurred on the W2K system, and I have been unable to fix it, so it's back to the backup - pain! LogMeIn.com didn't do that, but with my present internet connection, I can't use it.
I'll investigate compatibility mode options, but I suspect this means a VM solution is going to give the same problem. I am inclined to think that the problem may be connected with character sets - my old software claims it handles Unicode, but I think that may not be the case, and because we've got a few foreign names in the family, we may have some field overruns. Although I don't see why this should affect date handling, which is generally the first thing to go wrong.
