Leonard Woolf (husband of Virginia). Its outlook is centre-left or social democratic though it's published articles across the whole political spectrum over the years, from Richard Hoggart, John Maynard Keynes, Arthur Koestler and Harold Laski to Benito Mussolini and Leon Trotsky. A statement of purpose in its first issue said this:
"The function of The Political Quarterly will be to discuss social and political questions from a progressive point of view. It will act as a clearing-house of ideas and a medium of constructive thought. It will not be tied to any party and will publish contributions from persons of various political affiliations. It will be a journal of opinion, not of propaganda."
Since PQ is available by subscription only - mainly in university libraries - I've posted all my book reviews that are more than two years old (to respect Wiley's copyright) here, just in case you'd like to read them and don't have easy access. The published versions are available from the Blackwell website at http://www.blackwell-synergy.com