Jane D: you men are all alike. A man can never help a woman.
All, never, always, are absolute universal quantifiers according to David Burns M.D.
They're thought distortions. If she thinks this way to herself, no wonder, she feels the way she feels.
If she doesn't respond to that argument, get some big headphones, wear them and listen to music/podcasts, or use the fog and broken record method from Manuel J. Smith.
Or when Jane comes to dinner, offer your mom to cook dinner, serve dinner, clear the dishes, and wash the dishes for that night. This will keep you busy and will minimize the amount of time you have to spend listening to her. And if you have a cook/maid, you can always give that person the paid night off.
If she still upsets your mother, there is really nothing else you can do about that. Your mother makes her own decisions about who she talks to. But I suspect that if you don't let Jane upset you, your mother won't be nearly as upset by her either.