Trying to post a pic for you but can't get it to happen...  pretty frustrating!
Anyway, the 11yr old has been wanting a weeping willow in the yard all summer.  I haven't found one for sale so when we went to Island park for a fun-run we broke off a branch before coming home.  Once home we stripped the leaves off and cut it into approximately 12" sections.  After that we stuck them into a drinking glass full of water and set it on the counter-top.  No root stimulator, no lights, no nothing other than a cup of water.  They all sprouted roots and then leafs.   Been growing well ever since!
Oh snap!  I just realized I can text you pics.  I'll send you a couple of pics this morning so that you can see what's going on.