Here are a couple of other suggestions which all have orphans:
Clemmie which can be short for Clematis or Clementine.
Heather
Fern - there are a number of flowering Ferns
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If you run out or if you want to branch (should I say bud) out a little. (I know, bad joke)
Rosie
Blossom
Flora
Lilian most likely derived from Lilium and means "Lily"
Antony thought to derive from the Greek word anthos meaning "Flower"
Yasmin - Persian origin, one of its meaning is "Jasmine Flower"
Ren is Japanese origin that has a variety of meanings including "Lotus"
Nola can be a shortened version of "Magnolia"
Zara - many meanings including "Flower" or "Blossom"
Laurel / Laurette
Hanna / Hana - Spanish origins meaning happiness or "Flower"
Rosalyn - meaning "Beautiful Rose"