Robert. Mary Ann pretty much gave you the scoop, Then the fun part starts, once you have a good guess, then you get to beg, borrow, or steal a rhizome of the known plant or plants, and plant it right next to the unknown one and hope that next year they both bloom at the same time, at the same height, and exactly the same colors appear. You get to dissect a bloom side by side to make sure it's the same in every detail, then you will maybe get an ID, if not, it's back to the drawing board. Don't be discouraged though, it can be fun to do detective work. Your bloom has some fairly unique features so it may not be too hard with that one. Good Luck!