[1] Baron was originally from Gateshead, in northeastern England, and earned a bachelor's degree from Durham University through King's College, Newcastle, which later became Newcastle University.
She took two more teaching posts, at the Royal Grammar School, Newcastle upon Tyne and the High Storrs School in Sheffield, before leaving work to raise her family in Gateshead.
While there, she wrote a master's thesis on the history of calculus in 1960, and completed a PhD in 1965.
[1] Baron's book The Origins of the Infinitesimal Calculus, originally published in 1969 by Pergamon, was reprinted in 1987 by Dover Books,[1][2] and has been suggested for inclusion in undergraduate mathematics libraries by the Mathematical Association of America.
[3] She also wrote several other publications in the history of mathematics, including contributions to the Dictionary of Scientific Biography.