A versatile all surface player who won titles on both grass and clay courts Constance played her first known singles event in 1885 at the Wimbledon Championships where she reached the quarter finals before losing to E.F.

[2] The same year she reached finals of the Sussex County Lawn Tennis Tournament played on outdoor asphalt courts at the Hove Rink in Brighton, and won the mixed pairs event with Charles Ross.

[3] In 1887 she won the Bournemouth Lawn Tennis Club Tournament (later known as the Hampshire Championships) against Irish player Beatrice Langrishe.

[4] The same year she took part in the Cannes Beau Site Hotel Tournament mixed doubles event partnered with Ernest Renshaw where they won that title against Edith Gurney and Harry Grove.

[5] In 1889 she traveled to France to take part in a number of tournaments including the Cannes Beau Site Hotel Tournament in Cannes and played on clay where she won the title against Elsie Lane, the same year she reached the semi finals of the Dieppe Open International where she lost to Edith Austin.