Perspective in games is derived from literary terminology. If you are experiencing it as the player, then it's first person. If you see the player in the game world, then it's third person.
In literary terms, first person is when a story is written from the perspective of the main character. "I went to the graveyard." Third person is written from the perspective of the reader. "He went to the graveyard."
Second person is a rare and tricky form of literature where the reader is actually a character in the story. "You (the reader) went to the graveyard." It's not used very often in literature. Second person doesn't really have a gaming equivalent that I can think of. Dance Dance Revolution, maybe. Or WiiFit.
Half Life and Shadowgate
are both first person games, even though Shadowgate is 2D. Resident Evil and Super Mario Bros. and the Ghost Shooter tut are all third person games.
From what you said here:
[quote="newt":3jvlwt4x]The camera would be behind the player just a bit, and all the objects, and backgrounds would rotate into view as the players angle changes.[/quote:3jvlwt4x]
You're still describing third person, just an unusual way of rendering the view.
Of course, I could be completely misunderstanding you
. Do you have a mockup or example of what you mean?