Cochrane joined the BBC in 1948 as a producer of schools' news and current affairs programmes, and was appointed to the
Fulbright Commission two years later. In 1953 Cochrane wrote the first of her 26 episodes of
Rag, Tag and Bobtail, a children's television series that "continues to be remembered with affection". She also wrote a series of four books giving career guidance for young people. In 1958 Cochrane moved with her husband and two daughters to Sussex, where she took up secondary school teaching. Ten years later the family moved to the area around
Bath, which along with her keen interest in mathematics, and geometry in particular, triggered Cochrane's long-standing interest in the 12th-century philosopher
Adelard of Bath, of whom she published a biography in 1994. ==Later life==