This Professor Mcgonagall photo contains
fedora, felt hat, homburg, stetson, trilby, campaign hat, boater, leghorn, panama, panama hat, sailor, skimmer, and straw hat.
There might also be
dress hat, high hat, opera hat, silk hat, stovepipe, top hat, topper, beaver, cavalier hat, slouch hat, pith hat, pith helmet, sun helmet, topee, and topi.