Daylily oddities

Michael brought this home and said that one of his clients showed it to him and asked him about it. She says that some of her daylilies develop this second growth up on the stalk which she can remove and transplanted. I've never seen this phenomena but I also don't know a lot about daylilies. Can anyone out there enlighten us?
Click on the photo for a larger view...
Update: LynnS of Wood Ridge blog responds:
"The term is "keiki", meaning baby or child. Some daylilies reproduce in this asexual manner, as do some orchids. Also, if you think about regular houseplants, the Spider Plant sends out shoots with quite a few keiki plants and tiny blooms. I've had all of the above keiki offshoots and had great success with each.
I have heard one orchidist say that the Phalaenopsis orchid which pushes a keiki means it is not receiving sufficient nutrients. Perhaps. Never researched it further.
With all keiki offshoots, snip them and treat them as any baby plant -- they will continue to root and grow if given proper potting soil and care."
Thanks so much Lynn!

Comments
Frances
We've had several of these and I've made the mistake before of cutting the blooms stalk before the roots had formed well enough.--Randy
I have heard one orchidist say that the Phalaenopsis orchid which pushes a keiki means it is not receiving sufficient nutrients. Perhaps. Never researched it further.
With all keiki offshoots, snip them and treat them as any baby plant -- they will continue to root and grow if given proper potting soil and care.
Hope this helps.
Marnie