The area where I started in EMS, if we could calm the family down to a lower level of histeria we would wrapp the baby in one of its blankets and tell the family that there is nothing that can be done and ask them if they would like to say goodbye to their baby. Just let them rock the baby and say goodbye privately. If the situation was just kinda "off" and things didnt seem right then it was handled differently. If the family was just going bonker we would transport without family.