Is this Simonetta Vespucci?

This detail is one of the "three graces" in Botticelli's "Primavera," which hangs in the Uffizi in Florence.  But who is she?  And is she the same model, or inspiration, for the central figure in Botticelli's "Birth of Venus,"  which also hangs in the Uffizi?

For centuries, people have speculated on this matter.  A pretty story is that she is Simonetta Cattaneo de Candia Vespucci (1453-1476), a young noblewoman, perhaps from Liguria, who married a distant cousin of Amerigo Vespucci when she was 15 or 16.  She met Marco, her husband-to-be, in Genoa, but they were married at the Medici Palazzo in Florence because of Marco's connections to the Medici family.

Soon all of Florence was in love with Simonetta.  She was feted at a Joust held in Piazza Santa Croce in 1475, where Lorenzo's brother, Giuliano, carried a banner painted by Botticelli on which was created a likeness of her.

Unfortunately, she died the very next year.  Her image continued to be recreated by Botticelli for many years to come.  And he asked to be buried at her feet in the Church of Ognissanti when he died some 34 years later.