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- Ted Chapman (politician) (1934–2005), Australian Liberal Party politician
- Thomas Chapman
- Thomas Chapman (Australian politician) (1815–1884), British premier of Tasmania
- Sir Thomas Chapman, 7th Baronet (1846–1919), Anglo-Irish landowner and father of T. E. Lawrence aka Lawrence of Arabia
- Thomas Alfred Chapman (1867–1949), British Anglican Bishop
- Tiffany Chapman (born 1979), British actress
- Tim Chapman (born 1965), American bounty hunter
- Timothy Granville-Chapman (born 1947), British Vice-Chief of the Defence Staff of the British Armed Forces
- Tony Chapman, British musician, early member of The Rolling Stones
- Tracy Chapman (born 1964), American singer-songwriter
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