The English surname Alverson is of patronymic origin meaing son of , or descendant of, Alver. The personal name Alver is a Viking name composed of Old Norse alf meaning “elf” and -arr, an element with various origins. The name Alverson is first recorded in English documents in the Domesday Book in 1086. The earliest immigration reference to the name in the United States is Teleife Alverson who arrived in Virginia from London in 1704. A notable bearer of the name is the American novelist and screenwriter Charles Alverson.