Pour rubbing alcohol on a soft, absorbent cloth.
Rub the alcohol on a small, hidden area of the door to make sure it won't harm the wood.
Rub the door in a circular motion with the cloth until all of the hairspray residue is removed.
Moisten another soft cloth with warm water, and wipe the wall to remove the alcohol and any remaining hairspray residue.
Mix one part fabric softener with two parts water in a spray bottle.
Spray the mixture on the door, and let it sit for about 10 minutes.
Wipe the door with a soft cloth until you no longer feel the residue. If this doesn't work the first time, repeat. Spray on the solution, wait 10 minutes and wipe it away.
Spray a general-purpose household cleaner or a mixture of water and a few drops of a mild liquid detergent onto the wall to clean off the solution. Wipe down the wall with a moistened cloth until it's relatively dry, and all soap residue is removed.