I was for sure her name would be Rose. It just seemed right. When she summons odin, rose petals fall and her crystal is a rose. And lets be honest, I was expecting them to keep the trend of mostly-named-after-random-nouns in place for each character.
Nomura's main character names (within the Final Fantasy franchise) are all related to the Earth's sky, land, and sea; the central character always has the sky-based name.