Legal action is being considered against a company whose North Yorkshire factory is at the centre of the scandal over horse meat in beef burgers.
The Food Standards Agency, the UK's food watchdog, is investigating how the meat, which was sold at some of the country's leading supermarkets, became contaminated.
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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.