You're not the one who's paranoid and crazy, but you will be if you spend much more time with this nutty, controlling family.
You have my deepest sympathies on your situation. You didn't abandon her, imo...it sounds like you did your best to take care of her for as long as you could. At this point, she may need some professional attention, as it sounds like she may have deteriorated mentally (maybe dementia or psychosis?).