Another family member, who didn't wish to be named, said she thought "there might have been prosecution".
"Something's got to be done."
She didn't know if the family would attend the court hearing.
The ministry cannot confirm the prosecution, or if the employer is being charged.
Ministry media adviser Britton Broun said: "The Health and Safety Group does not announce the laying of charges under the Health and Safety in Employment Act, or confirm the details in response to queries.
"If charges are laid, the parties have the right to apply for name suppression at the first call in court, so to announce the party charged would abrogate that right."