Not sure how bai hei fits into all this, but bai he is the the Chinese name for just "lily". I have no idea how grammar works in Chinese, but in most languages there are root words that are suffixed and prefixed to change meaning, gender, tense and pluralities.
examples:
xiu li bai he = Lilium amabile
tiao ye bai he =Lilium callosum
hu bei bai he = Lilium henryi
pu jing bai he = Lilium lankongense
zi ban bai he = Lilium nepalense
nan chuan bai he = Lilium rosthornii
