Don't know if available in your neck of the woods, but that cheese Billy Mayes is pushing some pretty good cleaner on satellite television. My wife washed the drapery in the house that we just bought in this stuff (delicate material) and all of the tar from the previous owners chain-smoking habit disappeared. You'll probably have to unstaple the cloth from the frame of the grill and soak it for a short period of time to do an effective job.
