Woolwich is a suburb on the Lower North Shore of Sydney, in the state of New South Wales, Australia. Woolwich is located 11 kilometres north-west of the Sydney central business district, in the local government area of the Municipality of Hunter's Hill. Woolwich sits on the peninsula between the Lane Cove River and the Parramatta River, jutting out from Hunters …Woolwich is a suburb on the Lower North Shore of Sydney, in the state of New South Wales, Australia. Woolwich is located 11 kilometres north-west of the Sydney central business district, in the local government area of the Municipality of Hunter's Hill. Woolwich sits on the peninsula between the Lane Cove River and the Parramatta River, jutting out from Hunters Hill.