Flóki Vilgerðarson (b. 9th century) was the first Norseman to deliberately sail to Iceland. His story is documented in the Landnámabók manuscript. He heard good news of a new land to the west, then known as Garðarshólmi.
He wanted to settle in this new land and so he took his family and livestock with him. From Western Norway he set sail to the Shetland Islands where it is said his daughter drowned. He continued his journey and landed in the Faroe Islands where another of his daughters was wed. There he took three ravens to help him find his way to Iceland, and thus, he was nicknamed Raven-Floki (Norse and Icelandic; Hrafna-Flóki) and he is commonly remembered by that name.
A few of the people Floki was accompanied by on his journey were a farmer named Thorolf (Þórólfr) and two men named Herjolf and Faxe (Herjólfr and Faxi). After sailing for a while from the Faroes, Floki set one of the ravens free. The first raven flew back to the Faroes, later the second flew up in the air and back on board, but the third flew northwest and did not return. Floki now knew they were close to land, and so they followed the third raven.
After sailing west past Reykjanes they spotted a large bay. The man named Faxe remarked: “This seems to be a great land that we have discovered here.” Since then, the bay has been called Faxaflói (—lit. Faxi's bay) in his name.
Floki set up a winter camp in Vatnsfjörður at Barðaströnd. The summer was very good, so Floki was ill-prepared for the cold winter that followed. Waiting for the spring, Floki hiked up the highest mountain above his camp, now believed to be Nónfell. From there, he spotted a large fjord; Ísafjörður, then full of drift ice. Thus, he named the entire land Ísland (—Iceland).
When Floki and the other men returned to Norway, they were asked about the newly found land. Floki believed it to be worthless. Herjolf believed that the land had both good and bad qualities. Thorolf claimed that butter was smeared on every straw on the land that they had found. Thorolf was then nicknamed Thorolf Butter (Icelandic; Þórólfur smjör). Despite speaking ill of the land he later returned and settled to live there to his death. His wife was named Gró and his children Oddleifur and Þjóðgerður.