Welcome to the forum. They don't sound like classic, however they do ressemble cluster headaches.
It could also be trigeminal neuralgia, although the pain usually does not last so long, this is intermintent pain.
If it would my mother, I would find a Neurologist/Migraine specialist at a major hospital and make an appointment. Take all the tests and results with you.
I feel sure you will get some kind of answer. Avoid headache clinics. They are not detailed enough.
Moderator - Depression
Be still and know there is Peace.
Kabir says: "Student tell me, what is God? He is the breath inside the breath". from the poem Breath.
DX: reverse Trigeminal Neuralgia;Cluster headaches; Atypical face pain;Hemicrania Continua; raynauds;complex PTSD; recurring MDD,disassociative disorder;