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Trachelospermum jasminoides
Blooms approximately 4 cm. wide on a viney plant reaching 55 cm. above the surface of the ground.
Sandy soil in a disturbed, mostly sunny location on an uninhabited key.
Also known as Star Jasmine.
I think this may be Confederate Jasmine, Trachelospermum jasminoides, but the plant was blooming in October and the references I've found tell me that this species blooms in the Spring.