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She was burned by the English clergy who denied her appeal to the Pope near the end of the Hundred Years War and she was cleared of all charges only 30 years after her death (even though it took almost 500 years to canonize her).
And yeah, there's been extensive research and analysis of what happened. The trial and the aftermath is all amazingly well documented and worth reading; or if you prefer historical fiction Mark Twain has an awesome book about her.