Server 03 Remote Desktop

I have a server running Windows Server 2003, and I have set up Remote Desktop for it. However, whenever I connect to it with a different computer, and log on with the account that's currently logged onto the server, it acts like it's logging onto a completely new account. So now, there's two logons from the same account on the server. I would like it to be like XP's Remote Desktop to where you log onto it using the local account, and it will lock the account at the host machine. From what it looks like, though, whenever I connect to my Win03 server, it creates like a temporary account or something... which I really don't want.

Does anyone know a fix for this?

Thanks in advance.

Edit: Here is a picture of proof that there is in fact two of the same account logged in at the same time. GAMING-PC is the computer remotely controlling it.
http://img352.imageshack.us/img352 [...] ntsaq7.jpg