Conner was born in London and was initially a self-taught painter, but became a sculptor and was ‘apprenticed' to Barbara Hepworth. Conner was married to the documentary film-maker and photographer John Bulmer. Her sister was the writer and critic Penelope Gilliatt, third wife of the playwright John Osborne. Conner’s portrait subjects included Sir John Betjeman, Sir Noël Coward, Lucian Freud, Charles de Gaulle, Lord Goodman, Harold Macmillan, HM The Queen, Sir John Tavener, Lord Rothschild, Lord Sainsbury, The Duke of Devonshire, and HRH The Prince of Wales. Conner claimed that she was “basically a landscape sculptor using natural forces such as wind, water, gravity, sun and shadow.” These included the 20-tonne Irish Wave, 129 feet high, of stainless steel and carbon fibre. At the time of its construction it was believed to be the world's highest mobile, and is located in Parkwest business park, Dublin, Ireland. Conner's solo exhibitions including Hirschl Fine Art, London 2001, with others at Browse & Darby, Gimpel Fils, Pittsburgh Museum of Modern Art in America and elsewhere. She won a number of competitions and awards and was a fellow of the RBS. The Arts Council, National Portrait Gallery, Jewish Museum in New York and many other notable public and private collections hold examples.