The burned tongue feeling on one side only is definitely related to the AN. Specifically the tumor puts pressure on the trigeminal nerve (or cranial nerve V, which is responsible for feeling in the face, as well as parts of the tongue). It is more common with larger tumors, that start to impinge on the brain stem, at the root entry of the nerve.
It is usually the first symptom; afterwards the whole AN side of the face may be affected (i.e. the novocaine feeling), and often eye dryness, due to loss of sensation in the cornea may be another symptom.
The burned tongue was my first symptom, and my doctor really didn't have a lot to say. After a couple of months I started feeling numbness around my mouth, which then spread everywhere else. This is when my GP ordered the MRI, which diagnozed the AN.
Fortunately these symptoms are relatively mild, and usually one can learn to live with them. There is nothing that you can really do to alleviate them, even steroids don't work. In my case they only resolved when the tumor was removed.
Marianna