You wrote: "Peer-to-peer network (no domain server) with 2 - 2000 Servers on line."
Hmmmm . . . you may want to talk with your network admin before attempting what I am suggesting below.
There are many "Freeware" utilities that will collect and display local area network IP addresses, computer names, etc. Visit web-sites like www.download.com and search for items like "monitor network"
One of my favorites is "TCPNetView" from Russia.
Use your web browser to visit:
http://www.enet.ru/~gorlach/netview/
Click the "British flag" to see the page in English.
Click the "floppy disk" to download the utility to your hard drive.
Click on the downloaded file to install to a folder of your choice.
It's a great little program. Mobile too! You can copy all of the installed files to floppy and it works great.