Hey @Vizion101 thanks for reaching out about the confusion around Centrelink payment eligibility. Navigating government support services can be really confusing and it sounds like your mum is putting quite a lot of pressure on you about this, which would be really stressful.
In terms of figuring out whether you're eligible for payment, I would encourage you to contact Centrelink directly or even visit a service centre in person. It might be worth mum coming with you for this, or even contacting Centrelink herself, to see if she's eligible for family support payments (if that's something she hasn't already looked into). This payment and service finder tool from Centrelink might also be helpful.
It sounds like there might be more financial stress for your family since the divorce, so I just wanted to add if you or your family are needing more urgent support with money, I would encourage you to check out this resource.
How do you feel about you and/or mum potentially reaching out to Centrelink directly?