Astronaut
The first civilian in space was Valentina Tereshkova aboard Vostok 6 (she also became the first woman in space on that mission).
Tereshkova was only honorarily inducted into the USSR's Air Force, which did not accept female pilots at that time. A month later, Joseph Albert Walker became the first American civilian in space when his X-15 Flight 90 crossed the line, qualifying him by the international definition of spaceflight. Walker had joined the US Army Air Force but was not a member during his flight. 
The first people in space who had never been a member of any country's armed forces were both Konstantin Feoktistov and Boris Yegorov aboard Voskhod 1.
Grace Marguerite Hay Drummond-Hay
Grace Marguerite, Lady Hay Drummond-Hay (née Lethbridge, 12 September 1895 – 12 February 1946) was a British journalist, who was the first woman to travel around the world by air (in a zeppelin). Although she was not an aviator herself at first, she contributed to the glamour of aviation and general knowledge of it, by writing articles about her aerial adventures for US newspapers in the late 1920s and early 1930s.