This info from the Pacific Bulb Society may help answer your questions.. Moraea is a rather large group and has been consolidated a few times The first link has pictures of the Moraeas called Peacock flowers.
http://www.pacificbulbsociety....
The Dietes bicolor, was often sold under the name Peacock Iris, but it is neither a Moraea nor an iris, but a genus of its' own with 6 species. This caused further confusion for a lot of gardeners.
http://www.pacificbulbsociety....
I do hope this helps.