Rubuta ci gaba don wannan sakin layi - Daga ƙarshen 1940s zuwa farkon 1960s, ta kasance ɗaya daga cikin manyan 'yan wasan chess mata na Ingila. Eileen Betsy Tranmer sau hudu ya lashe gasar zakarun mata na Birtaniya: 1947, 1949, 1953 da 1961. A shekara ta 1950, Eileen Betsy Tranmer ta halarci gasar zakarun duniya ta mata
a Moscow inda suka raba 5th-7th wuri. A cikin 1952, ta halarci Gasar 'Yan takarar Gasar Cin Kofin Duniya ta Mata a Moscow kuma ta sami matsayi na 7. A cikin 1950, an ba ta lambar yabo ta FIDE ta Mata ta Duniya (WIM).