Hmm, ok.

So you want 2 VWM desktops, and 2 monitors.
Monitor A (computer) can switch between VWM desktop 1 and 2
Monitor B (TV) is locked on VWM desktop 2.

Correct?

I suggest you read up on the RabidVWM module. It will be your best bet.
Also you'll probably need to know something about the jDesk2 module aswell.

Good luck ;)

P.S. Sorry I can't help more, but I have only ever used 1 monitor with LS ;)