visa whist in china

I am (Australian) currently in PRC with my Chinese wife and daughter. Our daughter recently re entered PRC after her first trip to Australia and was giving permission to enter at shanghai airport which only lasts for one month. We were almost sent straight back to Australia as she did not have a visa. she was born in PRC. She has an Australian passport and citizenship. is it possible to get her a longer one without returning to Australia like they told us.