Thanks, Lynn; I didn't even think about beading lace not having header threads . So, I grabbed a scrap of the lace to double-check: and it DOES have header threads!! Of course, I wasn't planning to make circles or anything that drastic, I was thinking more along the lines of scallops. However, I'm not sure it would look good since the holes probably wouldn't space evenly at the miters.
I am now remembering the trouble I had three years ago with trying to come up with a design for a printed, poly/cotton, plisse fabric . Thankfully, this is the last of this fabric I have and I plan to not purchase any more of it! Back to the drawing board.