Finally, I just asked the telephone company if they had a DSL modem and wireless router that did not have to be linked by Ethernet cables to each other and to a computer to work. Yahoo! For $4 extra a month, I now have a small combination modem/router that sits on my nightstand and works perfectly. I packed up that old router, modem and two eMachines and they are on their way to Goodwill.
Ahhhhh . . . technology. I love it when it works.