Ernest Renshaw (1861-1899)
Jan 3 British tennis player and Wimbledon singles (1888) and with twin brother William doubles champion (1884-86, 1888-89), born in Leamington Spa, Warwickshire, England
- Jan 3 William Renshaw, British tennis player and Wimbledon singles (1881-86, 1889 and with twin brother Ernest doubles champion (1884-86, 1888-89), born in Leamington Spa, Warwickshire, England (d. 1904)
- Jan 5 Heinrich Gottlieb Noren, Austrian violinist and composer (Kaleidoscope), born in Graz, Austria (d. 1928)
- Jan 6 George Exton Lloyd, Anglican bishop and theologian, born in London (d. 1940)
- Jan 6 Victor Horta, Belgium architect, founder of Art Nouveau movement (Hôtel Tassel), born in Ghent, Belgium (d. 1947)
- Jan 12 James Mark Baldwin, American philosopher and psychologist, born in Columbia, South Carolina (d. 1934)
- Jan 13 Max Nonne, German neurologist (d. 1959)
- Jan 14 Mehmed VI Vahideddin, Last sultan of the Ottoman Empire (1918-22), born at Dolmabahçe Palace, Constantinople, Ottoman Empire (d. 1926)
- Jan 14 Wilhelm von Polenz, German writer (Der Pfarrer von Breitendorf), born in Cunewalde, Germany (d. 1903)
- Jan 18 Hans Goldschmidt, German chemist (alumino-thermic process), born in Berlin, Prussia (d. 1923)
- Jan 18 Raymond Huntington Woodman, American organist, choirmaster (Brooklyn First Presbyterian Church, 1880–1941), and hymn composer, born in Brooklyn, New York (d. 1943)
- Jan 22 Karel Stecker, Czech organist, pedagogue, and composer of organ and sacred music, born on Kosmanos, Bohemia, Austrian Empire (d. 1918)
- Jan 30 Charles Martin Tornow Loeffler [Martin Karl Löffler], German-American violinist and composer, born in Schöneberg, Germany (d. 1935)