She set up her own business in 1964 and became one of the top British designers of the early 1970s, winning the Dress of the Year Award in 1975; some of her garments from the period are held in the Victoria & Albert Museum's costume collection.
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Beatrix Miller of Vogue selected one of Gibb's designs for Baccarat, a pleated tartan skirt and printed blouse worn with a Kaffe Fassett knitted waistcoat, as the 1970 Dress of the Year.