Not everyone is a morning person, so if you find yourself woken up by unrelenting pain, you’re probably even less enthusiastic about the day ahead. Rebound headaches often hit people in the early morning. Cluster headaches -- short but intensely painful attacks recurring over weeks or months -- have been called “alarm clock headaches” since they often awaken sufferers. And tension headaches accompanying depression are often worse in the morning. What to do? Talk to your doctor to find out what you can do about your specific situation.