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- Harold Davenport (1907–1969), British mathematician
- Harriett Davenport, Los Angeles City Council member
- Harry Davenport (1866–1949), American film actor
- Harry J. Davenport (1902–1977), American politician
- Harry Davenport (1833–1895), English politician
- Herbert J. Davenport (1861–1931), American economist
- Homer Davenport (1867–1912), American political cartoonist
- Hugh Bromley-Davenport (1870–1954), English cricketer
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