Is it possible to run in windowed mode without a titlebar?

What I'm trying to do is have CivIV open on my secondary monitor, while using my main for everything else (chatting, internet, work and the like). So far I've just been running it in Windowed with the window maximised to the second monitor, but the titlebar is making it look...bad (vertical resolution is squished slightly).

I'm using an ATi Radeon X1600 if that makes any difference.