Graham played for Charlton Athletic from age 9 to 23 and scored over 200 goals. During the 2017–18 season of the FA Women’s Premier League Southern Division, her 47 goals ranked first in the league as she led the team to earn promotion to the 2018–19 FA Women's Championship (FAWC).[1] During the 2018–19 FAWC, she scored 16 goals in 19 games.