At present you can search by contact name but I think you probably need to be able to search by student name (I know you can do this in the pupil record but I think it makes sense to do it here too so you can see all contact details in list?

Do you also need a notes, history or similar field for parents so that a school can make comments to come back to? "EG - Mrs Smith attended a parents evening and was abusive to a member of staff, or made a complaint about XYZ. This has been resolved but reminder on the record etc."