Nónsson
Nónsson is a surname of Icelandic origin. It is a patronymic, meaning it derives from the given name of the father. In this case, it translates to "son of Nón". The given name Nón is of Old Norse origin and its exact meaning is debated, though it may be related to the word for "noon" or "night".
Like many Icelandic surnames, Nónsson indicates a direct lineage. Historically, Iceland did not have hereditary family
Therefore, an individual named Nónsson would have had a father whose given name was Nón. If that