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- Hank Chapman, American golden age comic book writer
- Harold Chapman
- Harold Chapman (born 1927), English photographer, especially noted for pictures taken at the Beat Hotel
- Harold Chapman (footballer), New Zealand International footballer
- Harry Chapman
- Harry Chapman (footballer) (1879–1916), English footballer
- Harry Chapman (news anchor), American television news anchor
- Harry Ernest Chapman (1871–1944), British soldier and police officer
- Harry Chapman Pincher (born 1914), Indian born British journalist and novelist
- Hayley Chapman, Australian television presenter and producer
- Henry Chapman
- Henry Chapman (American politician) (1804–1891, American Democratic Party politician
- Henry Samuel Chapman (1803–1881), British born Australian and New Zealand judge
- Henry Chapman Mercer (1856–1930), American archeologist, artifact collector, tile maker and designer
- Herbert Chapman (1878–1934), English football player and manager, notably of Huddersfield Town and Arsenal
- Hope Chapman (born 1990), American anime critic, best known for work with That Guy with the Glasses and Anime News Network
- Horace Chapman (1890–1941), South African cricketer
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