Unlike most literary awards, which are named for the creator of the award, the subject of the award, or a noted member of the field, the Rhyslings are named for a character in a science fiction story: the blind poet Rhysling, in Robert A. Heinlein's short story The Green Hills of Earth.
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Passing references by the lead character to the song "The Green Hills of Earth" and to its author, Rhysling, have caused some to consider it part of Heinlein's "Future History" series.