Most types of headaches are less serious and will not even require you to go to the hospital. However, some types can be life-threatening, especially if left untreated. Among them is a spinal headache, which can cause seizures if not treated early enough or simply ignored. With that said, if your headache refuses to go away even after taking medication, it might be time to seek comprehensive medical attention. That is because the headache may be a sign of an underlying medical problem.