Your hardware store should sell what you need to remove that. Buy the liquid wallpaper remover and a tool to score (punch little holes in) the paper. It's time consuming, but it works. Becareful if you're removing from drywall that you don't bear down too hard with the scorer. You don't want little pinholes in your drywall.
I'll probably stop by over the next few days and talk to them. Trouble is, I'm not talking about a thick paper - it's almost like tissue paper, almost as if there was something put between the paper and the heavier paper covering the drywall. So it'll come off in tiny bits at best. Maybe it isn't actually wall paper? I just made that assumption, but it's too old to see any pattern on it, if there ever was one.