I may be able to help. I still use OS 9 and it is sort of similar to 8.6
I do not think Windows ME supports Appletalk. Windows NT and Windows 2000 do, however. Look through you applications folder, and see if you can find the app called Network Browser. If you do find it, you can do a network search by IP. If it finds the computer, you may be able to browse through it, though I am not sure. I will boot into OS 9 right now, to see if I can figure this out. I did it years ago, so I don't remember what exactly I did.
I will post if I figure it out.
EDIT: Sorry, couldn't figure it out. Try this though, go to Apple Menu>Chooser. Then click Appleshare. Since there is no Appletalk on the Windows ME machine, click the button that says "Server IP Address." Then, type in the IP address for the Windows ME machine. It may work for you.