There are many grant programs and loans put in place by the Australian government grants and loans programs for small business funding. There may be grant programs for single mothers to start a at-home business however the criteria of being a single mother is probably not going to be one of the mandates of the loan. The mandate and stipulation of any of the loans or grants to get a small business funding opportunities usually requires it to be a viable business plan whether it is a at-home business or elsewhere. Grant programs for single mothers would have to be applied for under the specific program that would be most applicable to a start at home business venture.
You can also take advantage of the Small Business Startup Assessment Tool below and see the tools and resources you need to succeed at launching your business. It takes just a minute and will also tell you if there may be any funding programs available.