Possible Clues:

• Closest living relative
• One's closest relatives
• Your close contacts at the end of 5 down? That's fine by me getting to grips with frequency at home!
• Expect the hospital administrator will get this as they're all in The House presumably?
• They're all in The House presumably? Expect the hospital administrator will get this!
• Contacts in an emergency
• The following order from king in nice finale is often asked on hospital form
• Closest relatives
• Mostly to a relative extent
• Nearest relatives