I wonder if you could talk your parents into hiring help? I work as a nurse aide in home health care and your parents are pretty typical of what I see and hear about. Your mom sounds like she might have some cognitive issues, and on top of the accidents, she definitely can't continue like this. With a caregiver around, even for just a few hours every couple days, it can take a lot of stress off of your parents and you have someone there that can help identify bigger issues should they arise and in some cases, like falls, help to prevent them entirely.