Actually, we live in California, but having relatives in France, travel there often, and have had opportunity over the years to see how French medicine works both for our relatives (who are not well to do) and for ourselves when we have fallen seriously ill over there.
Good luck to you both. I am certain this must be both annoying and worrisome, but I suspect it is not dangerous.
Ah, I see that you are in France. As a resident, you have to wait quite a while to see a specialist?
The symptoms you describe sound like those of a nerve irritation, and you are correct that simultaneously experiencing both trigeminal and ulnar nerve pain is odd. Curiously enough, there has been an earlier discussion here of just that, where the victims alas found no answers:
http://www.medhelp.org/posts/Neurology/Sharp-pains-in-head-and-elbow/show/781470
However, I would personally want to rule out anything like pressure from a tumor or any condition that could cause the myelin sheaths that insulate our nerves to be in trouble and produce erroneous signals.
I do not believe that your wife's pain is heart-related. Please google the term 'trigeminal neuralgia.' This is a disorder of nerve function characterized by frequent bursts of pain in the area of the face you describe. It is treatable.
The elbow pain does not fit with this, but it does fit with other neurological problems.
Please make an appointment with a highly rated neurologist in your area. I think you will find some helpful answers soon.
Please google or look up trigeminal neuralgia. It is not exactly a rare condition, maybe a little difficult, but treatable.
This one is not a heart problem. Your wife's elbow pain is a little odd, but please do make an appointment with a neurologist. I suspect your wife's problem is going to turn out to be manageable.
Pain from a heart condition is not normally intermittent unless it comes on with exertion and is eased with rest. Heart pain that radiates normally is steady and increases in intensity until the event is over.
Having said that, women are much more likely to feel cardiac pain in this way. If you are still concerned after seeing a cardiologist perhaps you should get a second opinion for some reassurance.