Is it rounded out like a bowl or spoon and perfectly smooth? If so I'd bet its from "fire pop". All the pieces that I've seen with fire pop were in a fire after being made. Yours looks like it was poped before being made into an arrowhead. Anouther possibility is that the core its from was a nodule or round ball of flint these can break along the rounded layers that make up the ball, just like if youve ever seen a broken jawbreaker candy. I have a blade or blank made from a nodule piece the first pic is the worked convex side. The secound is the not-as-worked concave side. This example shows a chalky layer on the bottom and also layers like the jawbreaker.
I'm no flute expert but I belive to be a flute or even a thining flake it would be flat and not dished out like yours appears to be.
By the way it was nice to meet you at the show IA trout.