I'm not the originator of this hair style but I've gotten so many requests for it, I thought I'd give it a go for you. I don't know what it's called either so I haven't researched it and/or found any other tutorials for it ...thus, this is my version of it, and I've dubbed it the Partial French Braid w/ Cascading Hair.
The photos I've seen online show the braid a little more straight across the back of the head and mine sort of braids at an angle, similar to my side/low french braid up-do. I'm sure this is 100% easier to do on someone else's hair than your own but it goes pretty quickly once you get the hang of it ...I mean, it's my shortest hair video tutorial to date. That's gotta mean something, right ;) Enjoy.
Note: Apologies in advance for the yelling of "NOOOO" towards the end, where I momentarily fear I'm going to lose my entire braid and have to start over.