I think I have both conditions, although I have been to 6 neurologists over the last few years and not one has mentioned occipital neuralgia to me. I have been told it is trigeminal neuralgia that is affecting my right eye that is closed much of the time because it's too painful to have it open. The eyelid is always red. I see an eye doctor every few months and am on steroid eye drops. He has not mentioned occipital either. The worst of my pain is on my scalp.
I never heard of occipital until seeing it here in this discussion. So I just looked on Johns Hopkins website. They say about occipital neuralgia that the "symptoms are on the scalp rather than the face. . . making washing the hair or lying on a pillow nearly impossible". Bingo! These are two of my worst problems. Johns Hopkins has occipital on a list of kinds of headaches. That would also explain why I have round the clock tight squeezing skull popping head pain.
But I also have stinging stabbing burning on my forehead. No problems with ear, jaw or teeth. Just looked on other websites and they are talking about back of head and neck pain for occipital. So here we go with more confusion for me because I don't have those symptoms.