I wanted to add that many assisted living facilities can be an alternative to having an in home caregiver contract. The nice thing is that the family member is in a facility that allows for nursing care if they should need it and also can be in the company of others because many of these facilities also offer recreational activities as well as nursing care.
I had a friend who had her father in an assisted living facility and they would have scheduled trips to the mall along with movie screenings so they not only received medical attention, but there was also a nice level of companionship among the residents.
If I had an elderly parent, I would be afraid of them staying home alone because at an assisted living center I know that they have round the clock nursing care. It might cost a little more, but this way you know that your loved ones are safe because caregivers do have to take time off and may not always be available.
Also one sibling does not have more of the responsibility than another because if there are costs that the parent cannot pay each sibling can pay the charges evenly.