As far as I'm aware, there isn't any real naming system for most of the in house studios, but the development teams that developed Loco Roco and Shadow of the Collosus, along with the Santa Monica studio that developed God of War (which you incorrectly labled as a third party title) and wholly owned subsidaries such as Naughty Dog stand out as the most noticeable.
When has there ever been a hardware developer that doesn't support their own hardware?