Enoggera is a suburb of Brisbane, in Queensland, Australia 6 kilometres (3.7 mi) north-west of the Brisbane CBD.The west of the suburb is dominated by Enoggera Hill.noggera became a shire in 1903 before being amalgamated into the City of Brisbane in 1925. In 1949, the tram line from Newmarket was extended along Samford Road to Enoggera. The tram line closed on 2 December 1968.