Husband has terrible pain in face...? In his tooth, jaw, cheek, throat and head...it kind of spreads out through that entire area.

Has been like this for about 2 months..the Doctor said he thought it was neuralgia..prescribed tegretol but it didn't work;  actually caused intense pain.  The center of the pain seems to be the tooth, but sometimes can't really tell for sure..it spreads out everywhere. 

Should my husband go to the hospital or the dentist..Pain killers do not work....thats why i'm wondering if it's a tooth problem...Pain eases when he swirls cool water around in his mouth but that only lasts for about 5 min.  He says he's also feeling pressure in his lower temple next to his eye.  This is all on the left side of his face.

Any thoughts, suggestions, ideas are appreciated.

Thanks.

Summarized question: Who will be a good specialist to treat pain in the tooth, jaw, cheek, throat, and head area?