Falls are an issue for us, too. I forget in my long list of parent health issues to mention DHs mother had a serious stroke many years ago and for the past 2-3 has been wheelchair bound, needs help transitioning and it is both getting difficult for her husband to do it physically and she forgets to ask for help so she stands up and falls down- two broken arms in the past few years
She falls a lot, but he is convinced they can stay in their home. He is 100% with it mentally, so we are just taking it day by day.
It is rough to be the emotional support and the whole "who's the boss" issue is problematic when they are transitioning; they do not want to give up the control, but at some point we may need to take over, if they are seriously risking their health.