Headaches in the first weeks of 2nd trimester, no headaches in 1st trimester?

This is my first pregnancy and I was blessed with no morning sickness in the first trimester, but now in the first couple weeks of the 2nd trimester I have begun to get headaches 3 a week with the occasional migraine. I told my Dr. about it and she prescribed a medication for me when I have a bad one. i only take it if the headache lasts more then one day. I have tried the compress and eating and constant drinking of water and nothing is helping but what the Dr. prescribed. Is this more serious then the Dr. thinks? is there something else, a remedy, that I have missed that will help me? I want to enjoy my pregnancy and it is hard when the headaches cause me to lay in one position all day. any help will greatly be appreciated.