I am new here on the peony forum, and usually post on the daylily forum, but I was looking around for another issue with my peonies and saw this post.
I have self-seeded peonies that pop up around the garden on a regular basis. I guess from seed pods that escape being deadheaded. I see them when they are very tiny and will leave them for a year to let them get a bit of size before I move them. I moved seven this spring, and just found another one to move.
I have two blooming size plants from my seedlings now, one single white (a seedling from Krinkled White), and one double that has very pretty colouring (a very deep pink with silvery edges).