This Nine Muses photo contains
fontaine, concert, fedora, chapeau de feutre, homburg, stetson, trilby, hombourg, and chapeau de feutre trilby.
There might also be
hip boot, thigh boot, plaisancier, leghorn, panama, marin, skimmer, chapeau de paille, barbeau, chapeau, écumoire, paille, canotier, livourne, chapeau panama, and sailor.