Thank you for all the replies. My mother absolutely refuses to kick my brother out. She actually feels safer having him there, which I understand, even though she has to suffer through all the drama he causes.
It's not the way we wanted her "golden years" to be, but we don't have much choice.
One of my sisters who has extra room in her house has invited my mother several times to move in with her, but Mom won't budge, which I also understand.