In one of the Royal Wedding Videos of F&M, when Mary Donaldson wore a red gown to the theater wearing the complete ruby parure and sash, the announcer says that her sash and her Order of the Elephant was the one worn by Queen Ingrid.
I've always thought that perhaps the cursive F pin that's on the back of her sash was also used by Queen Ingrid. I have yet to find a back view of Queen Ingrid wearing the sash to see if she also wore the pin.