Final answer:
A cluster headache is associated with unilateral pain around one eye, often with lacrimation, ptosis, and nasal congestion with rhinorrhea.
Step-by-step explanation:
The type of headache characterized by unilateral pain around one eye in the temple area with lacrimation, ptosis, and nasal congestion with rhinorrhea is known as a cluster headache. Cluster headaches are one of the most painful types of headache and are marked by intense, stabbing pain in or around one eye, possibly extending to the forehead, nose, cheek, or jaw on the same side of the face. Symptoms commonly accompanying this type of headache include watering of the eye (lacrimation), drooping of the eyelid (ptosis), and nasal congestion accompanied by a runny nose (rhinorrhea).