[1][3] Greenhill learnt bookbinding and calligraphy at Roehampton's Sacred Heart Convent (today the Digby Stuart College).
[3] She subsequently took bookbinding classes under the French designer binder Pierre Legrain at Ecole des Arts Décoratifs pour Dames in Paris between 1925 and 1927 following encouragement from her sister to matriculate to the school.
She matriculated to the Central School of Arts and Crafts and studied bookbinding, calligraphy, drawing and design under Douglas Cockerell and Peter McLeish.
[1] For a brief period, Greenhill resided in the home of her uncle in Bloomsbury and set up a small bindery in his attic.
Greenhill's early customers included Hilaire Belloc and Walter de la Mare.
Following the outbreak of the Second World War, Greenhill had little time to do bookbinding because she had become a full-time air raid warden.
[5] When the River Arno flooded in 1966, she flew to Florence twice to assist the British squad in a large, desolate hall at the Biblioteca Nazionale to repair thousands of books damaged by mud and water left from the floodwaters.