I mentioned Centerlink because the OP hasn't mentioned any other assets AND she's near retirement. If she gifts the house she could end up with no asset and no pension.
As the house is a PPOR, and assuming she has no other assets, why would she rent it out (and get only a small pension only for doing it) and pay rent elsewhere?
How would she be better off?
I agree a lot of information is missing here to give a complete answer.
I was referring more in general terms.
It is a bit disturbing when parents are so willing to gift their property so easily. They have no idea what will happen in the future to their children.
Who they think may be there to care for them in the future, may not be. Whether it be physically (death), emotionally (brain damaged, by injury), or because the relationship has become estranged.
Then there is the lifestyle to be considered of the children. Will there be bankruptcies, divorces, or lawsuits to contend with?
What choice does the parent have then?
Just starting retirement is a long way from a nursing home.