Caro's apartment was wonderful and I would like to recommend staying with her if you are popping by Fremantle.
Her apartment is extremely convenient, merely 2 streets from the train and bus stations. It is also a few minutes away from Market Street (where all the food lies) and the Fremantle Market. Target and Coles are right at the doorstep if you need some stuff to get by. A little further away lies the Ferry and the Beaches and some other attractions I can't quite remember the names.
However, it can be a little quiet at night and the apartment block looks old but her apartment was extremely cosy and comfortable. The kitchen was fully equipped with a stove, a microwave and grill etc etc. The living room was warm and pleasant to sit around to watch TV. Most of the stuff you will need on your stay will be provided so it was really wonderful. Really appreciative of the chocolate and Tim Tams she left us and a full guide to Fremantle's attractions alongside directions.
Caro was really friendly and helpful, she showed us around the apartment when we first arrived, accommodated our later than expected arrival. She usually replied pretty quickly to our messages and gave us advice for sight seeing.