The Autograph Card is a gift in Fable II. It can be given to NPCs to make all of your fans (especially children) happy. In Fable III, autographs can only be given to children, and do not require these Cards; simply interacting with a child allows the gifting of an autograph.
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What could be more thrilling for your adoring fans but to receive your autograph? Assuming you're famous enough to have any adoring fans.