It was initially built for the French consul in Iceland, Jean-Paul Brillouin, and was the exclusive residence of poet and businessman Einar Benediktsson (1864–1940) for twelve years (1913–1925).

[5] Before the house was built, the site was used to make the first radio communications between Iceland and the outside world on 26 June 1905, when contact was made with Poldhu in Cornwall, UK, with a Marconi antenna.

[6] The memoirs of one of the earliest occupants of Höfði state that the house is inhabited by the spirit of a young woman.

[7] John Greenway, who inhabited the house in 1952, insisted that it be sold and the British consulate moved elsewhere, because of what he called "bumps in the night".

[9] The legend has even gained recognition by the Foreign Ministry, who have officially stated that "We do not confirm or deny that the Höfði has a ghost.