One of the Icelandic settlers, Bárđur Snćfellsás, is believed to have lived in the cave Sönghellir when he first arrived to Iceland with his people. The name Sönghellir literally means a cave for singing and was given the name because of its echo.
Places in the vicinity bear on the saga of Bárđur Snćfellsás, who was half human and half giant. He arrived at Djúpalón and built his farm Laugarbrekka nearby. His daughters were good looking, strong and brave and Bárđur loved them dearly. The eldest one was Helga.
Bárđur´s brother Ţorkell, lived at Arnarstapi. He had two sons, Rauđfeldur and Sölvi.
The children of the two brothers used to play together and try their strength. One foggy day, when there was pack ice along the shore, Rauđfeldur, son of Ţorkell, pushed his cousin Helga out to sea on an iceberg. She drifted away to Greenland and was later to return to Iceland but was believed to have drowned.
In his anger and sorrow, Bárđur threw Rauđfeldur into a ravine and Sölvi off a high cliff by the coast. Since then, the ravine is called Rauđfeldsgjá and the cliff Sölvahamar.
But Bárđur Snćfellsás walked into the Snćfellsjökull glazier and - more or less - disappeared.

