Elaine, those look like Ming Toy which I had down south. In fact, they were my 1st dl's. They make proliferations (baby plants on the flower stalk). They were like the energizer bunny --- they just kept going!
I will mention that I got Stella D'Oro & was very unhappy w/ them. I think they needed to have more cold. If you get any more; look for Siloam Double Classic ---- another great performer for me down there & fragrant too!
Daylily (Hemerocallis 'Siloam Double Classic')
Check Ming Toy out & see if it looks like yours.
Daylily (Hemerocallis 'Ming Toy')