I have this too! Right down to "The pain isn't like normal toothache, it is hard to describe, it's a bit like it is in my jaw and throat too, which sounds bizarre!" And I was just coming to look this up....
I have swilled with some hot salt water which helped a bit but it's an annoying nagging pain on the right hand side.
My dentist said at my last visit (just over a year ago, must book another one) that there should be no problem with them coming through (still?!?!) and just to let it happen.
Am v. glad other people think it's just wisdom tooth pain - I was imagining dental abscesses!