In Melbourne she would be eligable for HACC hours through the council. Ususally it isn't a lot ( about 3 hours a week) but maybe they should look into this. Just call the council and ask to speak to someone in the aged/disability department.
Also does she have a case manager? as she may be able to get some funding through there for a carer. The carer could be working on the goals of getting her more independent.

Or you could call an organisation such a Yooralla to apply for funds. Again the carer could work on the program of trying to get more more independent.

I work in this field, so PM me if you would like more details, and I can see what I can find out for you in your area.