Emergency services were called to Boston Road at Horncastle after a lorry crashed into the side of a bungalow. The driver was taken to Lincoln County Hospital but details of his injuries have not yet been confirmed.
A gas pipe was damaged, leading to the evacuation of about 30 nearby homes as a precaution. The occupants have now been allowed back in.
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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.