My grandmother was Annie Carmody (nee Brown) and I saw a clipping from the Sydney Morning Herald from the 21st Feb, 1930, in regard the Estate of John BROWN of Lidcombe (deceased intestate) that the Admin of the Estate be granted to ANNIE CARMODY, a daughter of the said deceased. So, I'm thinking that the John Brown you mentioned may be her father. If I can find a more definite link then I can give more information. Can only find a birth record for an ANN J BROWN with mother Ellen (Helen) and father John.