Those are called proliferations. It is one of they ways daylilies sometimes propagate themselves. Here is some information about how to get them started.

Here is a link that might be useful: Tinker's article on proliferations

I do have several of these plantlet's also, but didn't realize
until reading up on DL that I had free plants!

Question is, I live in zone 5b & we are looking at fall temps
just around the corner, and probably not enough time to
establish roots, should I follow the directions at the
Tinkers Website?

Regardless if they actually have air roots [which mine do not]
then, I would still need to encourage them by sticking them
in water with 8-8-8 fertilizer and trying for roots before
early October.

I guess it won't hurt to try.

Mary

Excellent resource. I took a look at mine and see the root starting after pushing aside a dead leaf on each.

THANK YOU! The link is fantastic!