If this headache is felt as a lancinating or boring pain, and is located behind the eye or in the temple, or is felt as a spike penetrating from the top of the head, behind one eye, it could be a cluster headache.
Cluster headache, usually, is very intensive, and is known as "alarm clock headache", cause attacks are striking at a precise time of day each morning or night.
A drooping eyelid, eye redness, eye tearing, runny nos, often accompanied the headache.