You are an idiot, waterman.
It's like this... there were two entries in the /mounts directories in NetInfo. This was intriguing because when I logged in to the client machine using a user name stored in its local netinfo database, I noticed a few aliases in the /Networks folder that were dead ends (they were aliases to items that could not be found). So, I capriciously deleted the two entries in the /mounts folder and restarted the Xserve. Also the automount settings in Server Admin were not sticking. That is, I would set the Users volume to automount dynamically in /Network/Servers, and then, upon closing and opening the same window, the check box would be unchecked as though I had never checked it.
Curious.
So, on a whim, I decided I'd keep that window open, restart the client machine and see if it took. Maybe just leaving the window open a little longer got it to stick, or maybe this was a case similar to Mr. Burns' diseases being in perfect balance, but whatever the case was, it worked.
Now, I can log in from the client machine (933 G4) and from my PowerBook (Pismo). But, methinks they have changed the login process under 10.2 because the computers that we have running that system can not find the home directory.
We'll just have to wait til our 10.2 server arrives.