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Hope is a a singer in the Maltese Falcon. Her physical appearance in Fallout was cut from the game.
When the Vault Dweller asks Butch Harris of the Far Go Traders in the Hub about the Maltese Falcon, he mentions a singer there named Hope. However, this woman cannot be found in-game.
Hope is mentioned in Fallout and the Fallout Bible.
According to Scott Campbell, one of the original designers for Fallout, Hope was supposed to be a singer at the Maltese Falcon who was supposed to have some adventure seeds with the Hub underworld. She was cut from the game.