I have had a similar experience with
new growth starting up stalks, but my experience was with daylilies. What
I did was to keep looking for little roots to start showing on the small plants
on the stalk. When the roots appeared, I cut the stalk and then left a
little section of the stalk on either side of the plants. Then I planted
them, and they grew. The mother plant was yellow; the babies were sports,
apparently, as they bloomed red.