asphodel
The lily family is very extensive and occurs in all climate zones (apart from the real polar). It can be as a vine (Supplejack), as a tree (Cordyline australis), perching plants such as Astelia, as a...
it's Malvaceae :)
lavender
Speaking in a taxonomical sense, yes. A family is a taxonimic rank after order and before genus.
Asparagus and plants of the onion genus are in the lily family and are the only food plants of commercial importance of the family.
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