OK - Thanks for all the suggestions but still not there yet. John, I googled and found the step by step instructions. Both computers are using XP. The printer has been shared (I did this on the desktop computer). Now this is where things don't seem to work. These are the remainder of the instructions:
To connect to the printer
(I think I do this on the laptop.)
Open the Control Panel, and click Printers and Other Hardware.
(I found Printers and Faxes not printer and other hardware.)
Click Add a Printer.
(OK. The add a printer wizard shows up.)
Instead of adding a local printer, click Printer Connection and then browse the network for the printer.
(I did not find PRINTER CONNECTION anywhere in the wizard. Now I did follow the wizard instructions and completed the wizard instructions but no go.)
This is more confusing that I thought.
I won't have the time to play with this until Sunday. We are heading to NYC tomorrow for the day.