From Longman Dictionary of Contemporary Englishsomething has somebody’s name on itsomething has somebody’s name on itsomething seems to be appropriate for or deserved by a particular person The match has England’s name on it (=they will win it). → name
Examples from the Corpus
something has somebody’s name on it• They say if it has your name on it ... But who can write on a virus?• If a washer has a brand name on it, make sure that the smooth side comes into contact with the seating. 