Moir was born in Simla to British parents and spent her first few years in India, her father being a regional representative for General Electric.
Soon after graduating, she joined the Diocesan Girls School in Hong Kong where she established the Advanced Level Mathematics department. After four years in Asia, Moir returned to England where she worked as an IBM systems analyst in London's financial district. It was in London where she met her husband, Kesang Tenduf-La, a Tibetan whose parents owned the famous Windamere Hotel in Darjeeling.
Elizabeth Moir came to Sri Lanka in 1982 with Mr Tenduf-La and their three children. As the only international school at the time was restricted to expatriates, Elizabeth was keen to establish an educational environment that could be enjoyed by all nationalities. She soon founded the Colombo International School and was its principal until 1994. In the same year, she started the British School in Colombo and, two years later, opened Elizabeth Moir School.
It was announced on June 13, 2014 that Elizabeth Moir was awarded an MBE (Member of the Most Excellent Order of the British Empire) by the Queen in her Birthday Honours List 2014, for Mrs. Moir's services to British education and the teaching of English in Sri Lanka.
- "Daily News 07/09/2002". Geoff Wijesinghe. Retrieved 2006-12-02.