How to change "connections" name wireless properties on windows 7?

Somehow, my computer always shows the internet connection as "name." (I'm not using the real last name that it actually is.) I know I accidentally set this, but I don't know how I did it. It is not the name of any wireless connection, and it is not the name of my computer. When I click on the bottom right corner at the "internet access" icon, all the available connections show up. At the very top, it tells me what I am currently connected to. IN BETWEEN, those, in faded gray is the name that I can't change in faded gray.

NAME ^

When click the "^" icon, the available networks are hidden, and when I click that same icon icon that now looks like "v" ... the available networks are shown again.

I hope I'm being clear that that specific name is not the name of any wireless connection available within range of my computer and it is not the name of my computer.

What is that, and how do I change it?

It's not offline-- It's made like the "category" title-- with all the available wireless networks indented below it.