PRPhx,
I, too, have a Linksys router on my home network (one of the old revisions of the badboy BEFSR41 that I bought back in 2001). The issue you describe can sometimes be solved by powering the router off/on, but did you ever wonder why?
When it happens to me, stopping & restarting the broadband connection in the router config (on the status tab) fixes it almost every time. When people say they had to turn their router off and on to fix a problem, this is really what they're doing that makes a difference. Occasionally when it doesn't fix it, the broadband modem then has to be power-cycled. At work, where I support many other models from D-Link, Netgear, and Linksys, the same is true. Rarely does the router have to be powered off.
Too often do I see advice or suggestions that the router is to blame. In dedotch's situation here, the PC using wireless through the "same" Linksys router was able to connect to the internet just fine. Therefore we immediately know that the router and the broadband modem are fine. Though it doesn't matter now, I suspect the firewall or some process running in Windows was to blame...
~cdogg
"Insanity: doing the same thing over and over again and expecting different results." - Albert Einstein
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