Constance-
You might have trouble finding an emerald badge without buying from HQ. They are not all that common.
The best thing to do is contact kaokite. She collects our badges and has the most AMAZING collection!! She often has badges for sale to other Thetas ONLY
She may not have emeralds, but give it a try.
I have seen pics of her collection. I believe that she has badges that go back to about 1890... simply fascinating to me! Good luck. What a wonderful big sis!