Mix a small amount of water with some wood ash to form a paste. Use a washcloth to work the ashes into the wood until the haze disappears. Substitute baking soda for the wood ash if you don't have any.
Mix a pint of warm water with two tablespoons of white vinegar. Wet a clean washcloth in the mixture, and wring out the excess.
Rub the table lightly with the washcloth, being careful not to soak the wood. Dry the table off with a soft cloth. Repeat the process until the table is clean of the paste.
Polish the table with lemon oil.
Gently rub the hazy mark with an ultra-fine grade steel wool in the direction of the wood grain. You may try dipping the steel wool in some mineral spirits if the first few passes have no effect.
Work for a few seconds, rub the spot clean, and work on it some more until you get the desired effect. Do not rub completely down to the finish.
Apply some furniture paste wax to the spot with a clean, dry cloth, working it in well. Let it sit and dry; then buff with another clean, dry cloth.