Uh, you're a little confused. The Final Fantasy II on SNES is Final Fantasy IV. II is the American name, and IV is the right (japanese) name. If you have FF: Origins, then you have the real FF 1 and 2, which are both for the NES. FF 4-6 (japanese) are all for the SNES originally, but (i believe) only 4 & 6 were released in America for the SNES. These were called FF 2 and FF 3 respectively because they were the second and third to be released in America. (after FF1).
Actually I knew all that. I called Final Fantasy IVeasy Final Fantasy II because that's what I grew up calling it. I never knew until Final Fantasy Anthology came out that it was Final Fantasy IV. To be clear, I said it was on the SNES, and I also mentioned Final Fantasy IIj. I still await Final Fantasy IIIj to be released in America.