With her behaviour I wouldn't be encouraging her to live anywhere else. It sounds like she's screaming for attention and wants a parent
So what you are saying is that she isn't a big enough priority for you to give her that attention she so clearly and desperately needs.
Not sure I would be thrilled if you offloaded her onto me, so not sure what you think this other woman is going to do to raise her when she has absolutely no connection to her or obligation to do so.
Why is she getting a choice to move to Woodend? She is a child. The family is moving to Woodend, she is either in the family or she gets on a plane and goes back to her mother - why are there any other options? I just don't get it.

I was her and I guarantee you, being allowed to move out of home when I was 16 was the WORST thing that happened in my life, and both my parents regretted it. You, and more importantly your husband, have a responsibility to this girl, please don't handball the problem to someone else because it is all just a bit too hard. Been there and it doesn't always work - and cerrtainly isn't fair on the other family.
What horrible responses, the pair of you should be ashamed of yourselves. I'm certainly glad I took my own story into the Private Support Group rather than risk this sort of response from people who clearly have no idea of the situation, or have bothered to check out the (many) previous posts to get an idea OR even trying to word your posts a little less harshly.

FWIW -MY situation with my daughter was tearing me and my family apart, I am aware of how hard Fi has worked to try and come to a happy outcome in her situation and FYI, we are not the only members of Belly Belly struggling (shedding tears and not sleeping) searching for help, seeking answers from others and at a total loss. Be careful how you post.

So go on girls, check out my threads, I've come out of the Private Areas and updated my story so you are welcome to come sling some arrows down there instead - I've come out the other side with a happy ending (after NOT allowing my child to treat others like dirt, and learning consequences), but I probably I won't be as graceful as Fi.