Definition of surnaming:
(n) :
The portion of a person's name that is generally hereditary or treated as an indicator of a person's family, which may be shared with other members of the family, or otherwise derived from their names in some fashion; distinguished from that person's given name(s).
(v) :
(transitive) To give a surname to.
(v) :
(transitive) To call by a surname.
(n) :
(Classical studies) The cognomen of Roman names.
(n) :
(obsolete) Synonym of epithet, an additional name, particularly those derived from a birthplace, quality, or achievement.
(n) :
(obsolete) Synonym of nickname, an additional name given to a person, place, or thing, a byname.