As Huddersfield Town support a drive to get more people donating organs, Barbara Harpham from Heart Research UK has told Calendar that those signing up to the register must also tell their next of kin, to make sure their organs can be donated.
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Bereaved parents were told that the council is concentrating its efforts on making sure it doesn't happen again.
The rheas, named Sally and Harry by staff looking after them at a farm in Haxey, were both found in the Sprotborough area.
It comes after months of protests following United Lincolnshire Hospitals NHS Trust's (ULHT) decision to close the unit overnight.