Tanya Taylor moved into her second season with the sure hand and grace of a much more experienced designer. “This is about a vacation in Barbados, 1962,” she said. The charming, beachy looks, which she showed at The Museum of Modern Art, got modestly urbanized under the cover of easy jackets and cardigans. The black floral silk cropped pants and matching bra top, for instance, were topped with a white-and-black cotton piqué blazer, while a pointelle cardigan was thrown over a short tangerine top and long tube skirt in a floral intarsia. Taylor’s slender, long dresses and short ones with flirty skirts and cutout tops rounded out her small but strong lineup.