An update:
I have tried a couple of other fixes that have failed including giving the Network group access to the spool folder (
windows cannot connect to printer. access is denied. ) and that did not work. Also, I attempted to connect the printer the laptop to see if I could share it with the desktop and came up with the same errors. One more thing, I noticed Norton Internet Security was installed on the laptop and so I removed it first with the Remove Programs utility and then with the Norton Removal Tool. This still did not correct the problem.
A little more information:
Desktop runs Windows Vista Home Premium x64
Laptop runs Windows Vista Hom Premium 32-bit
Wireless router is a Wireless G Netgear WPN824
Both computers are connected under the same workgroup (Home). Both computers have file and print sharing turned on. The need to access file and print sharing with a password is turned off. User Account Control is turned on and Windows Firewall is turned off.
Hopefully this further information can help. Please tell me if there is any further information that I can provide to bring additional insight for correcting the problem.