Tabanus: I'm only 99% sure:
1861: Henry Walter Peachey b. 13 July 1861 (England & Wales Christening Index)
1887: <At the annual general meeting of the Athenæum Chess Club, held on the Bth inst., at Camden-town, Mr. H. W. Peachey was elected hon. secretary in place of Mr. H. A. Schlesinger, who did not offer himself for re-election.> (Morning Post 17 October 1887 p. 2)
1889: Henry Walter Peachey, 28, Traveller, married 15 Dec 1889 to Anne Casterd, 29, in St Matthew, Upper Clapton, Hackney (Marriages and Banns)
1891 census Hackney London: Henry W Peachey, 29, Butcher, born in Cheshunt, Hertfordshire. Annie, 30, Wife. Clara A, 6 mo.
1894: <At a general meeting of the City of London Chess Club, Mr. A. Mocatta was unanimously elected President of the Club. Mr. Mocatta is a well-known strong amateur, and an ardent supporter of the game. The City could not have chosen a better president. Mr. Henry W. Peachey, of the Athenaeum, was elected secretary, in place of Mr. Gurner, who retired owing to pressure of business. The latter selection is very popular amongst the members, and Mr. Peachey is the right person in the right place.> (London Evening Standard 2 April 1894 p. 6)
1896: "Everybody's Guide To Chess And Draughts" ed. by H. Peachey. https://pictures.abebooks.com/RAREB...
1901 census Lambeth London: Henry W Peachey, 39, Butchers (assistant). Annie, 40, Wife. Maud M. --- Mo in law. Clara Steel, 59, Cousin. Clara A Peachey, 10, Daughter.
1911 census Lambeth London: Henry Walter Peachey, 48, Journeyman Butcher. Annie, 49, Wife, Salesman. Clara Annie Peachley, 20, Daughter, Cashier (Stores).