You should use care when cleaning wallpaper. According to handyman-wire.com, you should never clean old wallpaper with water. Why, probably because the wallpaper will absorb through the paper and into the wall and then cause the wallpaper to loosen from the wall.
Try a dry sponge or a 5 by 7 inch pad of virgin rubber about an inch thick that works like a giant eraser.
For stubborn spots like crayon and wax, try using a steel wool pad and rub gently, followed by a dry cleaning solvent.
Use abrasive cleaners only as a last resort. Read the directions of the abrasive cleaners carefully to avoid any problems.
The Massage Professor