Cleaning her place is not your responsibility, Mari but I can understand why you would want to make sure that she is living in a healthy environment. You really are a good friend
Paying hourly is one option. You could get a quote to just hire someone to come in to clean the kitchen and bathroom, etc... just the areas of the most concern. That wouldn't be too expensive, and something you could negotiate with your husband. When I was a home health aide, I could clean a kitchen, bathroom, and vacuum a smallish place in less than an hour because that's the only time I had to do it, but I don't know how housekeepers work...
She may also qualify for some home services at a low cost that could include cleaning since it sounds like she is very ill, and home-bound. That's something her brother could look into.
I hope that you are doing well, and taking care of yourself (((HUGS)))