|My thanks to Greg Dilian for providing the photos and information about these interesting lamp shades. They're called Luna in Harry Northwood, The Wheeling Years, by Heacock, Measell and Wiggins and also may have been called Louis XIV. They apparently came in a set of four, the smaller ones #44 and the larger #45. Presumably they were intended to be used as in the photo below with the large example hanging in the center of four of the smaller ones.
In 2018, a pair of Luna shades sold for $250 and a single, listed as Luna No. 37, brought $65.