I am so sorry for all your pain. You have been to the dentist and they confirmed that it was not your teeth. Thousands of dollars are spent every month on dental work that is unnecessary. May patients insist that it is their teeth and insist on taking them out. Then the pain is still there. The pain that you are describing is TN. You need to see a neurologist. He/she will put you on the right combination of meds for the condition. If you can get a copy of your mri then take it with you. There may be a visual vessel or artery on the nerve; but most of the time they can't see it unless you get a thin slice mri. Stick with the neurologist . They are very good at making a plan for your care. Your pain will start moving around in different places as time goes on. Your chin and your lips will start hurting. Everyone who has TN will describe their plan differently. There are many articles on the internet about TN. Read up on them. Always follow your doctor's orders. Good luck and I do hope you get to feeling better soon. Read all the details about the V3 nerve of the trigeminal nerve. This is the nerve that is causing you the tooth pain, even though your tooth is fine.
Take care of your self
Cheryl