[10][11] Graves was in the Yorkshire Diamonds squad in the Women's Cricket Super League in 2016 and 2017, but did not play a match for the side.
[14] She hit her List A high score of 65 in Lightning's final match of the tournament, a victory over Central Sparks.
[15] In 2021, Graves scored 103 runs and took 9 wickets for the side in the Rachael Heyhoe Flint Trophy, including her List A best bowling figures of 4/39, taken against Sunrisers.
[18][19] She played nine matches for Lightning in 2022, across the Charlotte Edwards Cup and the Rachael Heyhoe Flint Trophy, scoring 51 runs and taking three wickets.
[23] In 2024, she played 17 matches for The Blaze, across the Rachael Heyhoe Flint Trophy and the Charlotte Edwards Cup, taking two wickets with a high score of 33.