Through sheer incompetence I found and fixed it.
What it is a pop-up auto dialer window. I was using dial up before I got Wild Blue. This was a carryover from that. Seems on the settings for dial-up you can set it to "never dial a number". That's what I did. Now, it totally leaves me alone.
Yes, having Wild Blue is better than using dial up. Still not as good as DSL or cable. It's all we can get out here in the toolies. Hopfully Frontier will be able to offer us DSL soon.