Which came first, the phoenix or the flame?

“Get off me,” Harry spat, throwing Pettigrew’s hands off him in disgust. “I’m no…”

“I must admit, Peter, I have difficulty in understanding why an innocent man wou…”

“Well, you split your soul, you see, and hide part of it in an object outside th…”

“Somewhere out in the darkness, a phoenix was singing in a way Harry had never h…”