Could エリニエス possibly be
Erinys? エリニュエス gives me a lot of results and エリニエス is close, just missing the small "yu".
By the way, I love every stage song in this game, which I think is the first time I've said that about a shoot 'em up (I love shmup music but it's rare for me to like every stage song in a game). I also like the Dynasty track more than the version in Mushihime-sama, this one's got mood, it sounds like an intro battle in a different type of game or something.