I would review this with a attorney in your state, not wanting to sound wrong but often the
PR people from nursing homes, esp if they are doing a sales pitch are not always good at telling full truths ( not lies mind you) but explaining laws without full details.
I know my dads nursing home bill was about 2200 dollars and his retirement check was about 1800, and they expected mom to pay the balance every month.
As long as she had money over a few thousand dollars, she was expected to make that payment,