This The Duchess photo contains
capot, percez capot, bonnet, and bonnet de poke.
There might also be
plaisancier, leghorn, panama, marin, skimmer, chapeau de paille, barbeau, chapeau, écumoire, paille, canotier, livourne, chapeau panama, sailor, fedora, chapeau de feutre, homburg, stetson, trilby, hombourg, and chapeau de feutre trilby.