Born in England to Scottish parents, she represented Scotland in international competitions.

Graham beat Rhona Adair, the defending champion, 3&2 in the final to win the championship.

[1] Adair had won the Irish Women's Amateur Close Championship two weeks previously.

[6] In 1904, before the Womens Amateur Championship at Troon, a triangular series of internationals were arranged.

[9] The Scottish Women's Amateur Championship was held the following week at Prestwick, St Nicholas.

Graham played for the British team, winning her match against Mary Adams.

[14] Graham reached final for the third year in a row, but lost at the 19th hole to Dorothy Campbell.