This is a 1964 Ponytail Swirl Barbie. They had a limited run of about two years. They were basically the last dolls to represent '50s glamour. It makes them really valuable to collectors.
"ONE OF A KIND @Barbie is honoring @jadeacarey & @ChilesJordan ... jade’s signature braids to ponytail and her jade green leo!" a third person said. "Jordan’s has her nails too I'm crying ...