I'm not sure if naming is one kind of language-game upon reflection. It is a use of words that produces one kind of meaning. There can therefore be a naming dimension in a lot of language-games. Perhaps we can think of an activity like lexicography that might be described as a naming language-game. This is an inchoate thought -- I need to think some more on it. Let me post this for your response.
Christopher Robinson & Joseph Duemer read Wittgenstein's Philosophical Investigations