Well, it looks like we can all tell you what "needs" to be done, and who "needs" to do what. That won't make any of it happen.
I'm guessing that you grew up with a fair amount of drama and emotional manipulation in your family. In other words, sort of a "normal" family, like the one I grew up in.
If that's the case, you may not even recognize that the interpersonal relationships are all out of whack, and communication is not happening, until everybody's undies are all bunched up. It might serve you well to learn some communication techniques that can help keep everyone from pulling in opposite directions at once – which seems to be what has happened in your family.
You can make a positive difference, even if you are the only one using certain techniques, like listening deeply, and repeating what you think you have heard. Here's one possible example, "Mom, I am hearing that you feel angry because I (or my husband) reacted like XYZ. Do I have that right?"
Then empathize. "You know, I can see that I would feel the same way if XYZ happened to me. Is there anything else you'd like me to hear about that?" This is NOT the place to explain or defend your side of it. Just listen. (It's hard, but you get your turn soon.)
You don't have to apologize unless it feels authentic, but you can still acknowledge that you play a part in her distress. "Yes, I can find that. That certainly is part of what happened. I can see that your feelings are still hurt." It is AMAZING what a simple acknowledgement of the other person's feelings can do. Suddenly they have been heard, their feelings have been received, and, and, well, …they can listen to YOU!
Now is your turn. Tell what your precise feelings were, and what needs of yours went unmet, when XYZ happened. Keep it about you and your feelings and needs. "So here's what it was like for me. As the hostess, wife and mother, I hoped for a happy visit that my kids could learn from and enjoy. That didn't happen. I needed people to pull together and cooperate. Didn't happen. I resented having to clean up after my brother, whom I had not even invited. I'm tired, tense, and overextended, and hosting guests under those circumstances was no pleasure for me at all."
Then make a request, a need of yours that your mother can achieve. It might be as simple as asking her to repeat what you've just told her. It might be asking her to plan to come alone next time. Whatever you request, keep it free of comments about her, like "Please leave YOUR drama behind the next time you visit." That will put you right back at square one.
I hope you can see the potential for a whole different level of communication than what you are used to. If you're intrigued, I hope you'll google Non-Violent Communication for lots of tips, examples, books, videos and classes. This is only one of several adult ways of communicating – it's the one I've learned and had amazing results with. My best to you.