I want to like it because I love botanical names, but I don't care for Trillium. It's a pretty flower, but it sounds more like something that should be found on the table of elements or Star Trek than in a garden. I think it would be cool on a pet but not so great on a person.
Some of the more offbeat botanical names I like are Valerian, Verbena, Yarrow, Beech, Marigold, Magnolia, Wisteria, Aster, Plumeria, Plum, Hawthorn, Tansy, and Tulip.
I used to love Pennyroyal, Persimmon, Buckeye, and Coralbells, but I admit now that they're unusable. Coriander, though not a favorite of mine, really sounds like a name.