Researching My Great Grandmother S History Ann Gibney County of Meath Ireland

My great Grandmother was Ann Gibney from County of Meath, Ireland. She married my Great Grandfather in Longford, Tasmania on 6/03/1837. She was a free settler. I want to know how she came to Australia and when? I also want to know who her parents were and where did she live in Ireland?Any information about her background would be much appreciated. She was born in 1800-1810, I am not sure exactly when but her death certificate states she was 84 years whe she died in 1884 in Warrenheip, Victoria, Australia.