Ink stains that have penetrated the finish, like black water spots, cannot be removed without re-finishing. Less serious ink stains can sometimes be removed. Lightly buff the stained area with a cloth moistened with mineral spirits; then rinse the wood with clean water on a soft cloth. Dry the surface thoroughly, and then wax and polish it.
If this does not remove the ink, lightly rub the stained area, along the grain of the wood, with No. 0000 steel wool moistened with mineral spirits. Then wipe the surface clean and wax and polish it. This treatment may damage the finish. If necessary, refinish the damaged spot as discussed below. If the area is badly damaged, the entire surface or piece of furniture will have to be refinished.