Auburn is an unbounded neighbourhood of the suburb of Hawthorn, Melbourne, Australia, in the state of Victoria. The area is renowned for its commercial Victorian architecture, including the "Auburn Hotel", a giant 3-storey coffee palace in the Second Empire style built in 1888, part of a well-preserved streetscape on Auburn Road. Auburn Post Office opeā¦Auburn is an unbounded neighbourhood of the suburb of Hawthorn, Melbourne, Australia, in the state of Victoria. The area is renowned for its commercial Victorian architecture, including the "Auburn Hotel", a giant 3-storey coffee palace in the Second Empire style built in 1888, part of a well-preserved streetscape on Auburn Road. Auburn Post Office opened on 10 April 1893.