After all the suggestions, I went home last night and decided to re-install my router, since I don't want to have to turn on my PC just to get online with my Xbox. When I last had this router hooked up, I was using my previous rig with Windows 98. (the router is a Network Everywhere, which is made by Linksys).
When I had installed this router before, under Windows 98, the install wizard worked perfectly, and had my "network" up and running in no time. But my install last night (under Windows XP) was a nightmare! I confirmed that all my cables are good, and I was able to configure the router using the wizard, so I know the communication between router and PC is OK. However, I cannot get the router to communicate with the modem (I think). When I make all the hookups, I get a message that the PC is not connected to the internet. In all my fruitless attempts to make things work, I neglected to see if my Xbox would connect through the router (it connects just fine when plugged in to the modem). I think my next step will be to call Verizon (my ISP) and have them step me through it- their techs are actually pretty good, if you can wait in queue long enough to get through to one!) I must admit I hate it when things will go so smoothly under one OS, and then be problematic under the new, "improved OS!!