The Old Liverpool Hospital (Liverpool TAFE)The original Liverpool Hospital dates back to c1813 â however the building was demolished after a new hospital was completed in 1830. This new building was designed by Francis Greenway. The hospital underwent many alterations over the ensuing years.The NSW Health Department vacated the site in 1958.The buildings were renovated after that for use as a TAFE College with classes first held in early 1960.