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Harington was born in Lucknow to Herbert Harington of the Oudh Commission. He studied at Malvern, and joined the Welsh Regiment in 1888. In 1890 he joined the Indian Staff Corps and the 62nd Punjabis.
Harington documented many new subspecies of birds, some of which were named after him; these include Anas poecilorhycnha haringtoni (originally described as Polionetta haringtoni by Eugene Oates.) and Garrulus glandarius haringtoni.
- Baker, E.C.S. (1916). "The late Lieut.Col H.H. Harington" (PDF). British Birds. 10 (1): 19.