Like the earlier Hartington Street, Hartington Court is named after the Marquis of Hartington, born Spencer Compton Cavendish, later 8th Duke of Devonshire who was the leader of the Liberal Party. He disagreed with Gladstone over the Home Rule Bill. (Origin of Some of Belfast's Street Names, John J. Marshall, p. 15). His brother Lord Cavendish was murdered in Phoenix Park in 1882.
Hartington Court is not a street but a block of apartments located on Dublin Road between Hartington Street and Salisbury Street. See Hartington Street for further details.