The "Lyra Figures", a fancy march cotillion (dance party game) in which the columns of dancers outline the shape of a lyre within a wreath, were published in Twentieth Century Cotillion Figures, by H. Layton Walker (Two Step Publishing Company, Buffalo, New York, 1912). I suspect that, like the Winthrop(e), they were copied from some other source, but I do not currently have any idea what it might have been.
This figure would be somewhat difficult for a ball preceptor to lead "cold", at least without multiple floor managers, but with a lead couple who knew the track, it wouldn't be all that difficult. After a simple march-around lead-in, the leading lady and gentleman stay on their own sides of the room, leading their lines up and down curving tracks to form the shape of the lyre. It might even work with only a single knowledgeable dancer, if their partner were good at moving in mirror image and the room not too crowded for them to see each other at opposite sides. At the end, there is a simple march by platoons to end in facing lines for a waltz or other couple dance...[breakdown with diagrams behind the cut]