from Wikipedia: The lake and town were originally named after the town of Geneva, New York, located on Seneca Lake, in which early settler John Brink saw a resemblance. Geneva, to avoid confusion with the nearby town Geneva, Illinois, was renamed Lake Geneva; later the lake was renamed Geneva Lake. In practice both forms are used for the lake, but never for the city.
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from Wikipedia:
The lake and town were originally named after the town of Geneva, New York, located on Seneca Lake, in which early settler John Brink saw a resemblance. Geneva, to avoid confusion with the nearby town Geneva, Illinois, was renamed Lake Geneva; later the lake was renamed Geneva Lake. In practice both forms are used for the lake, but never for the city.