If the State (any State) assists in the care of an elder, upon the elder's death can a lien be placed against that elder's chilren's property?

Few states have filial responsibility laws, that is, laws holding children legally responsible for their parents.; And those laws that exist are rarely if ever enforced. However, the situation may be different if there were assets that were transferred to the children. These may be considered "fraudulent conveyances" and the states may go after these assets.