Okay, here is what I did, on the laptop I opened "share drive and directories using NFS", set the directory to /home/cliff/Documents/, host wild card: *, General options: no_all_squash,async, secure,no_subtree_check,ro. I clicked OK.
I then went to the desktop computer, opened "share drive and directories using NFS, set the directory to /home/jan/Documents/, the rest of the setting are the same as the laptop. Then I opened "access NFS shared drives and directories" clicked on Search for Servers, waited for a bit of time. The only computer that showed up was the desktop computer, no IP address. I opened the the computer and it showed the /home/jan/Documents/ directory.
I then went to the laptop and did the Search for Server, this time it showed linux-2 with the directory point to that on the laptop /home/cliff/Documents/.
One interesting thing is that the desktop Search for Server was found as linux, and the laptop lsearch for server was found as linux-2. Not sure if that is meaningful.
Neither showed the other computer, again, only showing itself.
Thanks again for you help.