I'm sorry that this all kicked off. I appreciate all the responses. All I care about is that I have a mother and daughter living in UK and mum wants desperately to go home. It's causing huge pressure and frankly I would prefer my daughter to be brought up there too.
So I just need to find a way in. Despite being a respected professional, young enough and native English speaking etc and having and Ozzy daughter it seems possibly NT is the only state Uni Lecturer is listed. NSW is confusing. I'm not sure it may be an option. Anyway, all of her friends and family and her life is waiting for her in South QLD (hence NSW would have been fine). If I had to live in NT for two years it would cause untold misery. I feel it's terrible that this is so difficult for me but I certainly want to legal facts because in terms of morality there are many other factors in my case than what moral obligation I might have to a state.
Her mum just wants to go home. Given we are no longer together you can imagine the pressure and pain this is causing.
We did not begin any other visa process. I was there before on my working travel (as I was young enough) then a twelve months tourist (so I could go and help and be there for the birth etc) but we had to come back so I could earn and look after my daughter financially.
Anyway, I appreciate all the comments and suggestions. Thanks for you input everyone. Anymore conments still welcome of.course