Thank you both for your suggestions. I had a couple minutes to look at one of the machines while the user was at lunch. I was going to start with the easiest and most obvious fix....checking the computer browser service. It had been set to manual and was stopped. When I tried to start it, I got an error message 1075: the dependency service does not exist or has been marked for deletion. The only other service showing in the dependencies tab was workstation.
When I compare this to what was showing under the dependencies tab in the computer browser service ON MY COMPUTER, I have both server and workstation listed. I guess my next step will be to get back to the problem computer and see if it has the server service started.
As far as pinging goes - no matter whose computer I ping on our network, they all reply from the same IP (174.136.50.106). We have a perimeter firewall, but that is not it's IP. (?)
We are a small (appx 50 user) network, and we use static IP's.
I will try to get back to the other computer to see if it's computer browser service is also stopped.
Thanks