Janet, those were sent to me as nameless cuttings in a plant swap. I stuck them in the soil and they took off. I do believe the flowers were pale pink or maybe white, but I don't remember for sure. I'm sorry I don't have a picture of those. I have several other types of Persicaria and knew it belonged to that genus.
The plant you ID'd looks very much like it in some of the photos. I had seen something similar labeled as Persicaria maculosa which is also listed as a synonym some places. But I think those two are distinct species?