Xanthorrhoeaceae. That has to be the worst X word to do with daylilies! It's the plant family that daylilies were placed in under APG III (APG is the Angiosperm Phylogeny Group), in the subfamily Hemerocallidoideae. Before that, and after having been removed from the lily family, Liliaceae, Hemerocallis were placed in the family Hemerocallidaceae.
In an article entitled: Proposal to conserve the family name Asphodelaceae (Spermatophyta: Magnoliidae: Asparagales), it was stated "Many scientists, amateur botanists and the general public are obviously not in favour of using the relatively obscure Xanthorrhoeaceae s.l., which in addition is not only difficult to pronounce but is also often misspelt."
I heartily concur with that comment!