Apply water-displacing spray to a white cloth. Gently rub the dry marker stains with the cloth in a circular motion. Continue applying the spray and rubbing until the dry marker is removed.
Pour rubbing alcohol into a small bowl, if the stain persists. Dip a cotton swab in rubbing alcohol. Rub the dry marker stain with the saturated cotton swab. Wipe the wood table clean with a damp cloth.
Spray a non-oily hairspray directly on the dry marker stains, if the stain is still visible. Allow the hairspray to sit on the wood table for several minutes, but do not allow it to dry on the table. Gently rub the hairspray in a circular motion with a damp cloth. Repeat the process until you have removed the dry marker. Wipe the table clean with a damp cloth.