Baby Doll Perfume is described as a witty and playful fragrance that combines top notes of grapefruit, red currant and rhubarb with a heart of freesia, rose and spices, all smoothed down in a peach, cedar and grenadine base. Introduced in 1999 by Yves Saint Laurent, Baby Doll is sweet and impertinent, perfectly fit for young women who want to find admirers everywhere they go. It is a classic, nonetheless, so it can also be worn by mature women who feel young at heart. . . Baby Doll Perfume for Women by Yves Saint Laurent. Fresh, tender, and just a little precocious, Baby Doll is the fragrance created to please. This independently feminine scent exudes a gentle top note filled with a touch of freesia and a pinch of spice. Ginger and cinnamon are the elusive heart, with a base of seductive pomegranate and energetic cedar wood.