Barbie | Vintage Barbie Ponytail Doll identification | Issued from 1959 to 1964. The First Barbie Doll was introduced to the world at the New York Toy Fair on March 9, 1959. Her design evolved over the years and there are 7 different ponytail Barbie variations. These are known by their numbers - #1, #2, #3, etc. Each version has visible differences - use this chart to identify your doll. As a general rule, the lower the number the more valuable the doll.