MonCal,
An Epullette is like a small wing of fabric on a tight fitting doublette or bodice during the 1500's. Basically it's an extra "flash" of something on a vest/bodice to add to it. Basically the pieces your talking about are modified Epulettes. I thought of this the first time I saw the Zam costume, also the lacing up the sides. Check out this bodice I pulled from a place called Crimson Gypsy. The Zam Vest isn't as tight as these, but I am going to use this logic from my background in Ren Faires to make the vest.
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You can see the little "wings" on the bottom of the bodice and the "wings" on the shoulders. That's all I was explain'!