Hi mara24 and welcome to the forum!
Have you had any surgery, by any chance, in the past few months? I had some hair loss after I had appendix surgery. I think that's fairly common.
I just did a quick search on 'hair loss' and 'fibromyalgia' and several things came up on the web. There's also a 'search' box above and there are several past conversations on fibromyalgia and hair loss.
I also take gabapentin, but don't have any problem currently with hair loss, that I've noticed.
Have you checked out Fibro 101--the very first thread on this forum? It has some good, general info on fibro that you might find helpful. The home page has some good blogs and videos, too. Some inspirational stories.
Hope this helps a bit. Wish you the best!