I wonder whether there's a connection between dolor and the name Dolores?

I always thought Dolores was, like dolorous, much closer to sorrowful than painful. Isn't that closest to the meaning of the French douleur as well?

And no, I don't consider sorrow and pain to be the same thing at all. Related, often going together, but not the same. And I'm sure all Doloreses would agree with me on that front.