Hello Group:  here is the setup as best as I can describe:

DSL into Lynksys router which feeds both machines.  Both reach the internet
fine.
I've told the ME machine to "share the printer (no password)
The XP machine is my machine upstairs and the downstairs machine which is
named :"Downstairs"
is for mom.  Printer is downstairs for mom.

The ME machine just replaced an old old machine running NT were I could get
to the printer from XP okay.

The XP computer can see "Downstairs" in Workgroup from My Network Places >
Entire Network > Microsoft Windows Network > Worgroup > Downstairs but thats
as far as it gets. Double clicking on Downstairs yields This message:
//Downstairs is not accessible.  You might not have permission to access
this network resource.   The network path was not found.

Since it sees Downstairs then this would presumably leave an access problem
of some sort.

I will furthur note that I can turn on file sharing on XP and can see that
both from XP and from downstairs and it is accessible from
downstairts.    Printer is an HP LaserJet 4.  The Share name I gave it was
"HPLJ4".

                              Any ideas out there I'd appreciate hearing
them! Thanks Much,      Dallas...