Her elder sister was nurse and writer Albinia Lucy Wherry (1857-1929).
[3] Cust "acted for many years as her father's secretary, materially aiding his studies", and also worked as a medical missionary in India.
Her books of poetry, Songs of sunshine and shadow and The annunciation and other poems were privately printed in 1903 and 1904 respectively, and Lucem Sequor and other poems, described as "indifferent verse ...[showing] the influence of her religion and the East",[1] was published by in 1909.
[4] She is said to have produced "passable" translations of writers including Heinrich Heine, Joseph Freiherr von Eichendorff, and Victor Hugo.
Cust's father Robert proposed a motion in 1892 which led to the election of fifteen "well qualified ladies" to fellowship on 28 November 1892.