Aren't animals great? I thought HLWS were produced by grafts so this is something new to me, although it brings back memories of identifying twigs in the winter in a woody plants course. Well if it is rooting wait until the roots are 3-4" long and then plant in a sand/manure mix, be careful of the root structure, in a one gallon container for at least one growing season.

Here is a link that might be useful: Propagating Perennials

Upon further research, I must credit the willow branches for creating Willow Water - which I believe to be the cause of the Walking Stick rooting! The roots are about 1/4" long, so I'll keep the branch in water with the Willows until they are about 4" long. This was a huge surprise for me, as I never have much luck with seeds or cuttings.

Keep in mind, most/ a lot HLWS now-a-days started as a tissue cultured plant. This provides "most times" an easier to root "factor".
Great to read it worked out well :-)...............

This is exactly the information I was looking for, and still relevant 13 years later!

Mine has either suckered or air layered itself in two different locations about six feet from the mother plant with no signs of suckering in several years. The mother plant is nearly 20 years old and sends up suckers from the rootstock that I keep cut back at least twice a year. I just cut the suckers a week or two ago and some were 12 feet tall.

Here is a site that talks about layering to get clones on its own rootstock.

https://www.freeplants.com/harry-lauders.htm

and from cuttings

https://homeguides.sfgate.com/root-cutting-contorted-filbert-71034.html