Cocker was born on 25 May 1920, in a tenement in Aberdeen, Scotland, the daughter of John and Barbara Rennie.
Cocker attended Aberdeen Grammar School, while also working at Milne's licensed grocers.
At the beginning of World War II, Cocker joined the Civil Defence Service, serving as an ambulance driver.
Cocker and Alec expanded their business in 1959, when they bought a larger property on the outskirts of Aberdeen.
[5] Alec's most famous new rose variety, 'Silver Jubilee', was named with permission of the Queen to celebrate her 25-year reign.
Her son, Alec Cocker Jr. and wife are the current owners of the family rose business.