Board game:The Amusing Game of Old Father Goose

McLoughlin Brothers of New York published a board game, The Amusing Game of Old Father Goose, about ten years before L. Frank Baum published "Father Goose: His Book."The children's book became a runaway best-seller for Baum, his first, and paved the way for his later "OZ" series. But where did McLoughlin Brothers find the name "Father Goose?" Did this game influence Baum's choice of title?