Use alcohol, corn meal and heat to try to draw more fuel/oil out of the wood.

Then the balsarite , thinned with acetone and allowed to soak in well, can really help the covering stick to the greasy wood. Balsarite is un-tinted MonoKote adhesive in liquid form (basicly) it is a fuel resistant (nearly fuelproof) paint that also is a heat activated adhesive.