Pattern from Star Book of Crochet Designs No.1 (1935)

The pattern suggests size 50 thread and a #14 hook for a vanity set.
Or for a larger set, "use SILAKATEEN-SANSILK... and a No. 12 hook... the small piece will measure about 10 inches and the larger piece will measure about 15 inches square.  (Probably a size 40 thread.)
For a luncheon set. use "STAR CROCHET CORD"  and a No. 6 hook.  (Probably similar to size 10 thread.)