My mother is a spend thrift. She burns money like a sailor on shore leave, and has a plan to be broke so the FedGov can take care of her.
There is legally nothing I can do to stop her habits. Why am I on the hook for the bill?
It is a question of age.
Were you recipient of the benefits or did the profligate spending and going on the dole occur after you were adult and not a dependent?
If your mom has a house or real estate still when she passes on, look for Medicaid to recover costs of care from the sale of that asset.
To avoid that, look into a Ladybird trust. Might be called another name in your state. It allows her to stay in the home and pass the house down to children. It is basically just a transfer of that asset to the inheritor and your mom has the right to live there until her passing. There is still a 5 year look back by Medicaid that will still allow them to recover costs if she passes within the five year period.