From the experts:
Trilby was used first for a character by French novelist Charles Nodier (1822) and made more famous by writer George du Maurier in an 1894 work. A Trilby hat, which Du Maurier's character wore, is a short-brimmed fedora of the kind recently revived by hipsters. Du Maurier's character Trilby fell under the hypnotic power of Svengali: not the best choice for an independent and self-determining daughter. Still, if you want a unisex name that moves far beyond the usual Taylor and Morgan and has energy and feminine verve, Trilby might well be your girl.