Cobbett is a surname. Notable people with the surname include:
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Anne Cobbett (1795–1877), British author
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Edward John Cobbett (1815–1899), English watercolour and oil painter
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Hilary Dulcie Cobbett (1885–1976), British artist
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Pitt Cobbett (1853–1919), Australian academic, jurist, and editor
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John Morgan Cobbett (1800–1877), Conservative Party and Liberal Party politician
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William Cobbett (1763–1835), British radical agriculturist and prolific journalist.
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Walter Willson Cobbett (1847–1937), British author of Cobbett's Cyclopedic Survey of Chamber Music.
