Aside from the proudly displayed photo of herself as a toddler in a Best & Co. coat, Gregg Renfrew's New York City office isn't what one might expect for the CEO of a company that prides itself on traditional Fair Isle sweaters and wool toggle coats. Think modern orange Eames chairs and a big red lacquer table. Renfrew, 38, officially joined Best & Co. in January (she had previously done consulting work there), but has already taken steps to solidify its status as the top tier of the fast-growing high-end children's-wear business.
Renfrew made a name for herself as an entrepreneur...