OK, things just got a whole lot more confusing. I got a new laptop from work as my secondary laptop, I logged in with that laptop and was not disconnected at all!!! So, with that laptop, using wifi, I was able to stay connected without getting disconnected. On my first laptop, I get disconnected when connected to the router, but stay connected when I am directly connected to the cable modem. Makes no sense at all anymore.

I'm going to try to connect directly to the cable modem and see if my connection ever disconnects...now I am second guessing my memory, maybe I was being disconnected even with the cable modem. Actually, I hope that I do get disconnected, this way we can pin-point it to my first laptop and then try to find the app that is causing it.
Thanks for sticking with me through all this by the way!!