Cheilanthopsis Hieronymus = Woodsia R. Brown / Physematium Kaulfuss Eriosoriopsis (Kitagawa) Ching & S. H. Wu = Woodsia R. Brown Hymenocystis C. A. Meyer = Woodsia R. Brown / Physematium Kaulfuss Physematium Kaulfuss = Woodsia R. Brown / Physematium Kaulfuss Protowoodsia Ching = Woodsia R. Brown / Physematium Kaulfuss Woodsia R. Brown
xWoodismatium L. B. Zhang et al. = Woodsia R. Brown x Physematium Kaulfuss Woodsiopsis Schmakov = Woodsia R. Brown / Physematium Kaulfuss
Synonymy from The Pteridophyte Phylogeny Group (2016); N. T. Lu et al. (2020) recognised two genera.