No, it doesn't rename it there. I told you I can't exactly describe my problem. I'll try like this:
You know where it says under the icon of your Network adapter "Enabled/Disabled"? This is where it puts numbers. The name of the network I am connected to is displayed as it's name is when I open "Properties". This is the only place I see this 1, 2, 6, 10 thing. And of course when I connect and I point on the icon in the tray where the wireless is it says "X 9" Internet access
Hope you got my point now