Thanks for your help, Gyathaar. I did the "Altroot" thing, and when starting WARLORDS, the game replaces all the shortcuts that were pointing to the network with shortcuts to the C: drive. E.g. C:\civ4\Warlords\Saves. So far so good. But starting the game, connected to the LAN, the game still looks for the network and freezes after a few turns.
Disconnecting the LAN, I can start WARLORDS and it takes only half a minute instead of 3 to load. But then the Hof Mod complains again.
The other funny thing is that the language randomly changes. On the office machine I had picked the German installation, my home PC has English. Now I get English text but German sound.
I'm not going to bother you any more with this, just one last question:
is there a post that describes better the file / directory structure of CIV4 ? I.E. I suddenly see now a directory C:\civ4\Warlords\My Games\Warlords\Saves\single. Why was this created, as WARLORDS upon installation has already a save file directory C:\civ4\Warlords\Saves\single\auto. This was probably the consequence of the ALTROOT command.
So now it puts the AutoSaves into C:\civ4\Warlords\Saves\single\auto but it puts the HOF MOD created Savegame file ("File on Exit") and "Autolog.Txt" file into the C:\civ4\Warlords\
My Games\Warlords\Saves\etc.
It also says that any new game I create doesnt qualify for HOF because CRC is missing and the Locked Modifiers are not on. The more I think about it, I believe this is a bug in the HOF mod.

. Again. the Vanilla Hof Mod works fine any doesnt show this problem.