In 1898 at the age of 24 she played her first tournament at the Midland Counties Championships at Edgbaston where she reached the final before losing to four time Wimbledon champion Blanche Bingley Hillyard.

In 1899, Garfit played at the Wimbledon Championships for the first time, but lost her first match against Muriel Robb in three sets.

[1] In 1901 she reached the final of the Midland Counties Championships for the second time, but lost to Ruth Durlacher in straight sets.

In 1909, Garfit played at Wimbledon again and this time advanced to the semifinals in singles before losing to eventual champion Dora Boothby.

In June she reached the final of the singles event at the Northern Championships for the second time that was held in Liverpool, but lost a three-set match again to Edith Johnson.