One notable, and very underreported exception, is Pennsylvania's filial responsibility law[1]. In Pennsylvania, if a resident of a nursing home is indigent, the liability falls statutorily on their family, who the home is free to sue and secure a judgement. This may not have gotten much attention due to uncommon use, but it's very real, and it's been upheld by the PA State Supreme Court. A handful of children of seniors have been bankrupted by filial responsibility judgements.
[1]: https://www.paelderlaw.net/pennsylvanias-filial-support-law-...