Just looking up some Botanical terms, as you do...
COROLLA:
the inner whorl of the flower composed of the petals.
CORONA:
the outer edge of a radiated compound flower.
CROWN:
The crown of a plant refers to the totality of the plant's aboveground parts, including stems, leaves, and reproductive structures. A plant canopy consists of one or more plant crowns growing in a given area.
I guess if you think about it, where are Toyotas made? In a plant
Old Corolla badge: