Will family face legal issues if accused passed away?

If a person was falsely accused in a case and has now passed away, but their family is very poor, lives in another state, has no legal knowledge, and is too afraid to travel, can they face any legal problems in the future? Can the police or court harass the family even though they have no connection to the case? If the family never submits any documents, such as the death certificate, could they face any issues later? Is it the family's responsibility to inform the police or court about the accused's death, or will the case automatically close once the person has passed away? If the family has no information about the case—whether it is an FIR, a complaint case, or something else—what should they do?