What is the last name of the Greek poet Homer?

In ancient Greece, just as in The Bible, people did not go by last names; only first names were used; the way a person was differentiated was: by adding where the person was from, or by their fathers name, for instance: Hector from Troy, Isaac son of Abraham. However the Greek poet "Homer" did have a different name at birth; since he was brought into existence near the river Meles his mother Critheis named him Melesigenes; later in life after his many toils and becoming blind (due to natural cause), he adopted the name "Homer" which meant blind person.