Are droopy top eyelids related to Parkinsonism?

I have had a droopy eyelid in my right eyelid for many years, but it has recently gotten a lot worse, and my left eyelid is also now drooping. It looks like I have an allergy, but as far as I know this isn't the problem. I have very dry eyes and I use drops frequently for this but it hasn't helped the droopyness. Does anyone else have this problem?