She went to Notting Hill high school and then on to Somerville College. She worked as a researcher and published books on church history beginning with her first on Street Gilbert of Sempringham who had founded a double monastery. Graham was encouraged by her mother and with her she travelled in France to research her second book
She wasn"t able to gain a degree until 1920 from Oxford.
She gained her doctorate in 1929 again at Oxford. In 1945 she became president of the British Archaeological Society which she held until 1951 when she served on as vice president until 1963.
She died in 1963. Her early work on ecclesiastical history is seen as a great foundation for later scholarship on women"s history.