Brawlin is a small community in the northeast of the Riverina, about 12 kilometres south of Cootamundra and 29 kilometres north of Coolac. …Brawlin is a small community in the northeast of the Riverina, about 12 kilometres south of Cootamundra and 29 kilometres north of Coolac. Brawlin Post Office opened on 1 February 1880 and closed in 1951.