Atwood was born in 1866 at Richmond, London, the only daughter of Frederick Atwood, an architect, and his wife, Clara Becker. Named Clara at birth, she later used the form Clare and was also known as Tony. Atwood studied at Westminster School of Art and the Slade School of Fine Art. Atwood first exhibited at the New English Art Club in 1893, becoming a member in 1912. She held an exhibition of her work at the Carfax Gallery in 1912. In 1917, during World War I, she was commissioned to paint war scenes for the Canadian Government through the Canadian War Memorials Fund. The Fund arranged for Atwood to visit the military camp at Folkestone in Kent to gather ideas for the work. However, Atwood decided instead to paint a scene at one of London's main railway stations where troops were waiting for trains to take them to camps or to the front. During the war, Attwood was also commissioned by the Women's Work Sub-committee of the Imperial War Museum to produce several pieces depicting the activities of the Women's Voluntary Service. The most notable of these, Christmas Day at the London Bridge YMCA Canteen, records the visit of the actress Ellen Terry and Princess Helena Victoria to a YMCA canteen. In 1920 she was commissioned for four more war paintings by the Imperial War Museum.
Personal life
A lesbian, in 1916 she joined the writer Christabel Marshall and the actress and stage director Edith Craig in a ménage à trois at Tenterden in Kent until Craig's death in 1947, according to Michael Holroyd in his book A Strange Eventful History. She, Edith Craig and Christabel Marshall were friends with many artists and writers including lesbian novelist Radclyffe Hall. Atwood designed props for several of Edith Craig's productions with the Pioneer Players, including the 16 foot high crucifix for their production of Paul Claudel's The Hostage. Atwood was a member of the Pioneer Players. Atwood occasionally performed at the Barn Theatre at Smallhythe Place in Kent, which was founded by Craig to stage performances in memory of her late mother, the actress Ellen Terry. Atwood acted in the matinée at the Palace Theatre, London on 23 April 1929, held to raise funds for the Ellen Terry Memorial. In July 1932, Atwood decorated the shoe for Craig's production of The Shoe in Tenterden. After Craig's death, Atwood wrote an essay about Craig.
Death
Atwood suffered a fractured femur, senile myocarditis and heart failure, and died at Kench Hill Nursing Home, Tenterden, Kent, on 2 August 1962. Marshall and Atwood are buried alongside each other at St John the Baptist's Church, Small Hythe. Craig's ashes were supposed to be buried there as well, but at the time of Marshall and Atwood's deaths, the ashesgot lost and a memorial was placed in the cemetery instead.