Cibber is a surname. Notable people with the surname include:
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Caius Gabriel Cibber, Danish sculptor; father of Colley Cibber
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Charlotte Cibber, English actress, playwright, novelist, autobiographer, and noted transvestite
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Colley Cibber, British actor, playwright, and Poet Laureate; father of Charlotte and Theophilus Cibber
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Susannah Maria Cibber, English singer and actress; wife of Theophilus Cibber
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Theophilus Cibber, English actor, playwright and author
