The first computer is running Windows XP. SBC Yahoo (now ATT) is the DSL provider. The router is a 2wire gateway. The two computers are using private IP addresses behind the router. Accessing the router's configuration web page, it sees both computers.
I visited a web site on the XP computer and found out the IP address that it sees the computer as. I can ping that address from the Me machine. I pinged some other addresses from that same range.
I am not very familiar with Me so I am probably missing something here. Any ideas as to what I need to look for?