I'm cross!

A pantomime in Norwich is having to change one of the costumes of the "Dame" because it features several red crosses on a white background ("she" is supposed to be a nurse) and they have been told that this infringes the rights of the British Red Cross, whose emblem that is.  But hang on a minute - red cross on white ground - isn't that the cross of St George?, and that belongs to us all and well predates its use on ambulances and such.  I'm sure the producers of the pantomime don't want to get into any legal shenanigans but I'd be inclined to tell the Red Cross where to get off.