Williams was born in Newton Abbot in Devon and educated privately. Her father was a solicitor. Her brother Winter Williams became a barrister, but died in an accident on 14 July 1903. She studied law at the Society of Oxford Home Students. By 1903, she had completed all her law examinations, but was prevented by the prevailing regulations concerning the qualification of women at Oxford from matriculating or receiving her BA, MA and BCL until the regulations were reformed in 1920. She obtained LLB from the University of London in 1901, and LLD from the same university in 1903. After the Sex Disqualification Act 1919 came into force in December 1919, which abolished the prohibition on women becoming barristers, she joined the Inner Temple as a student on 26 January 1920 after Theodora Llewelyn Davies. She was called to the bar on 10 May 1922, having received a certificate of honour in her final bar examination in Michaelmas 1921 which excused her from keeping two terms of dinners. Her call to the bar was described by the Law Journal as "one of the most memorable days in the long annals of the legal profession". She was soon followed by other women, including Helena Normanton. Williams did not enter private practice, but taught law at the Society of Oxford Home Students from 1920 to 1945. In 1923 she became the first woman to be awarded the degree of DCL in Oxford for her published work, The Sources of Law in the Swiss Civil Code. In 1956 she was elected an Honorary Fellow of St Anne's College, Oxford. She enjoyed tennis, travelling, gardening, and driving. She learned to read Braille after she began to lose her sight in later life, and she wrote a Braille primer which was published by the National Institute for the Blind in 1948. She died in Oxford in 1966. In 2020 barrister Karlia Lykourgou set up the first legal outfitter dedicated to offering courtwear for women, as much of the exisiting provision was impractical and uncomfortable. She named it Ivy & Normanton, in honour of Williams and Helena Normanton.