Born in Surrey, England, to wealthy parents, Huxtable was initially a society débutante and then became a fashionable figure in 1960s "swinging London" and, as a model, was represented by the William Morris Agency.
Huxtable was first married to Irish theatre designer Sean Kenny, but later divorced him.
In 1973 she became the second wife of the satirist Peter Cook and appeared with him on the 1977 Godley & Creme concept album Consequences, together with a brief appearance in his 1979 comedy film Derek and Clive Get the Horn, co-starring Dudley Moore.
They were divorced in 1989, owing to Cook's drinking, after many years of amicable separation.
[2] In 2008 she published an autobiography, Loving Peter, in which she described her turbulent relationship with Cook and living with his alcoholism, which mirrored her experiences with her own mother.