Hey man, I don't have any idea if there are plugins - I hardly use any plugins myself, just trying to offer something to help.
As for themes, there may be themes that display the name, hence why I suggested it.
I'm not sure what the mousing up and down is about to see the icon... My icons stack for like applications, IE when I look at my task bar, I see one chrome icon but I have 6 chrome windows open (okay, I actually see 2 chrome icons, because I have two separate users, but 6 windows under my primary user and 3 under the other). Also, the active window is highlighted in the task bar so its easy to tell which application I'm looking at.