What are eye pain in one eye (throbbing) and a spillting headache in the same side?

Perhaps migraine. Have your doctor evaluate possibilty of migraine, but local eye pain can be due to many other causes so an eye doctor may be necessitated.

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Could you tell me what are eye pain in one eye (throbbing) and a spillting headache in the same side of your head syptoms of?

See a doctor. There are several possible causes, but anyone who experiences excruciating pain should see a doctor immediately. Either go to the emergency department of your local hospital or your eye doctor. This could be a migraine, a form of glaucoma or other conditions which require urgent attention.
Severe headaches. Anytime that you have a headache worse than you have had in the past, it is essential that you seek medical attention.