You are going to get far more educated answers than this, but to get you started the chord name depends on which note is considered the root and the intervals between the notes above that. You are correct in that based on that criterion a triad can have more than one name. This is made more, ah, interesting by inversions.

I'm going to stop here. If these concepts are new to you you should invest in a book on basic music theory. I have seen good pocket references for as little as $6 new in music stores.

I mean no disrespect. It is possible that I misunderstood your question completely. If that is the case I'll delete this later.

"My primary musical instrument is the personal computer."