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- Randall Davenport (born 1999), American writer and actor
- Rex Davenport (born 1993), American director and actor
- Richard Davenport-Hines (born 1953), British writer
- Ripley Davenport (born 1970), British desert explorer and adventurer
- Robert Davenport (fl. 1623-1639), English dramatist
- Ross Davenport (born 1984), British swimmer
- Roy M. Davenport (1909–1987), United States Navy Rear Admiral, 5-time recipient of the Navy Cross
- Russell Davenport (1899–1954), American publisher and writer
- Rustin Davenport (born 1959), American judge
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