This The Duchess foto contains
bonnet, luifelhoed, and poke bonnet.
There might also be
schipper, leghorn, panama, hoed, zeeman, skimmer, strooien hoed, livorno, panama hoed, matroos, stro hoed, fedora, vilten hoed, homburg, cowboyhoed, trilby, fedora met vilten hoed, and stetson.