To tackle an abscessed tooth, first of all, pull oil. You can find the instructions for this here on earthclinic.com. It's gentle and extremely effective at deep cleaning your teeth. I would suggest using either organic extra virgin olive oil or organic coconut oil for this. Do NOT pull castor oil. It could make you rather ill.
Next, to help relieve the pain, gently massage castor oil into the sore area of your jaw, face and neck. Not inside your mouth, but on your face and neck. You will probably find that the pain will reduce within an hour or so.
The castor oil will penetrate to a depth of approximately 10 centimeters, so it will get into the infected area. Castor oil is antibacterial and will help to clean out the poison. It's also extremely effective as a painkiller. Sorry, I don't know why, I just know it works.
If you use the castor oil at night I would suggest wrapping your pillow in an old towel to prevent the oil from staining your bedding.