"To have a name" means that someone or something is known by a specific title or label that distinguishes them from others. It represents their identity and how others recognize or refer to them.
Sentences with «to have a name»
It was more than twenty years ago, I don't have the name of a book or anything. (religion.blogs.cnn.com)
Just because the card doesn't have a names on it, doesn't mean its a bad card. (sbnation.com)
We don't even have a name for this type of device yet. (inc.com)