Ray,
I know their collection very well (I cataloged and photographed it when researching the badge book).
They don't have any badges similar to either of the ones your questions are about.
There was a fire at Gaunt, I think during WW2, amd the museum were donated the spare parts that had been salvaged, so have a lot manufacturer's blanks and a very few prototypes that never made production. Within this lot are examples of the all of the parts your badge is made from stand fast the laurel leaves.
Yours
John
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