There is no Australian system of registering for copyright, so there are no official records of ownership to search.
The Copyright Act doesn't allow you to use material without permission if you are unable to contact the copyright owner. You may be able to get information on the copyright owner from the material you wish to use or if the material has been used elsewhere, it may be worth contacting them to see where they obtained permission. The Australian Copyright council has a detailed helpsheet on seeking permission.
Permission from copyright holders is often needed when creating training materials, research papers, and web sites. You need to obtain permission when you use a work in a way that infringes on the exclusive rights granted to a copyright holder (i.e. outside the boundaries of fair use).
Steps to obtain permission to use copyrighted material:
More information from the Australian Copyright Council website:
Using Copyright Protected Materials
Fair Dealing
The fair dealing provisions allow limited use of copyright material for certain purposes without requiring permission from the copyright owner. Fair dealing only applies to certain purposes, such as research or study, criticism or review.
Fair Dealing for Research or Study
Under fair dealing for research and study, you can copy:
If you wish to copy other types of material (e.g. images, films, sound recordings, unpublished material) or more than 10% or 1 chapter of textual material, you must consider if your use is "fair and reasonable" under the following conditions:
The provision only applies to material being copied for your own research and study.
More information from the Australian Copyright Council website: