I am currently on paid parental leave but after 18 weeks, that will change to the single parent pension!
My DH lives 5 minutes drive away.
We have been together for 10 years but never lived together as he lives with his 2 children and ex!
I told all of this to Centrelink and they told me that I am technicality single and am entitled to the full benefit as long as he pays child support (which he does every week)!
Centrelink are going to contact him regarding his financials so I don't know why they are asking you to provide those details. And money that is from overseas and staying overseas is not classified as an income that they need to know of so its weird!
Just be honest and it will get sorted.