Check the furniture carefully for any damp areas of fuel oil. Sop up as much dampness as you can, using paper towels.
Sprinkle a generous coating of baking soda onto the furniture. Use your hands to rub it into the fabric.
Let the baking soda sit on the furniture overnight, then vacuum it up the next day. Baking soda works well at absorbing odors.
Pour white vinegar into an empty spray bottle if the smell lingers. Spray down the furniture with the vinegar.
Let the furniture air dry completely. The vinegar will help to get rid of the odor by neutralizing it.