Add an enthusiastic Viking 'real estate developer' by the name of Eric Thorvaldsson (Erik the Red), Lief Erikson's father as well. Easier to get settlers if the name does not have 'ice' in it, besides, Iceland was already taken!
Yes, when I first studied history I was told that the Vikings misnamed them Iceland and Greenland because they wanted to discourage settlers from coming to one of them, and encourage them to come to the other.