
I'm going to leave morals out of it today. Instead, we'll determine who's required to care for aging parents, and what type of care is required.
First, let's talk financials. About 25 states have what are called Filial Responsibility Laws, which means the adult child(ren) must pay for their elderly parent's medical costs if the parents can't pay themselves, but Michigan does not [1].
No, Adult Michiganders are not financially responsible for their elderly parents. You are not obligated by law to take care of your parent.
In other states, Filial Responsibility Laws are a common (unethical?) way nursing homes and other elder care facilities find their residents' children to pay the bills.
In Michigan, nursing homes can come after the adult child(ren) if the adult child(ren) signed up for nursing home application or payments. Michigan adults are not responsible to pay for their parent's care if the adult never signed up to do so.
The parent can't sign their adult child up without the adult child's consent. Therefore, parents cannot sign up for a nursing home by themselves, pay by themselves to start, then later switch payments to their children.
If your parent did do this, then you'd have the right to refuse.
Although Michigan Adults are generally not legally responsible for their parents, there are some exceptions that an ill-willed parent or nursing home might try to take advantage of you. Basically when you sign your name to be liable, you may be held liable.
If no family member or friend is able or willing to care for an elderly Michigander, then the Michigan StateΒ Government MDHHS's Aging Services department will take care of the elderly person.
References
[1] "Elder Care in the United States: Filial Responsibility Laws, Judicial Decisions, and Enforcement Issues" Sesha Kethineni and Gowtami Rajendran. Jun 01, 2018. JCJL.