Nice little bow, David. I love the shorties. I make quite a few of them. Your tiller is spot on, also. Good on ya!
The TBII does work, as evident in your success. I use hide glue with sinew, no exceptions. They're compatible, for one. Also, I think I get a bit more reflex out of the sinew using the hide glue. I back all of my sinew bows with a snakeskin as a moisture barrier. If you'd like to try any hide glue out on a future project, let me know. I have a bunch of the stuff.
Congrats on your big success!
Matt