Hello and welcome,
Sorry it's taken so long to respond.
I often get a teary eye with a migraine. I believe it has something to do with the blood vessel expanding and putting pressure on the conjunctive something or other (sorry I'm not a doctor and have not medical training) causing your eye to tear and become blurry. I often experience blurry vision as part of my migraines. It clears up once my migraine goes away.