sailor hat

a woman’s hat with a flat brim of even breadth all the way round it; named as being characteristic of sailors’ hats

(as one of the obscurest of coincidences, note that ‘tile’, used later in the tale as a phonetic spelling of ‘tale’, was Victorian slang for a hat, as in the popular song (1888) by Sir Arthur Sullivan: “Where did you get that hat / where did you get that tile / Isn’t it a nobby one / and just the proper style”)