Hi, Dylan, and welcome! Yes, we do have all sorts of pain with fibro. Burning pain is one of them. We are all so different though so no two people have the exact same symptoms. It also depends on how active we are, if we do gentle exercise or stretching. These things help people with fibro.
I would suggest that you keep a journal of your pain and what it feels like on a pain scale. You can find these tools in Fibro 101. Then, when you see a doctor, it will help them treat you. Do make sure that whatever type of doctor you see that they treat fibromyalgia patients. Ask before making your appointment because there are still doctors in the Dark Ages when it comes to this illness.
I'm looking forward to hearing more from you. Don't hesitate to ask questions because we are here to help you. Hope to hear more from you soon.
Sherrine