Irish town was probably Little Ireland (or 'Little Hell' - see http://www.ee.surrey.ac.uk/Contrib/manx/towns/douglas/d100.htm) - see http://www.ee.surrey.ac.uk/Contrib/manx/iomnhas/v023p212.htm where stated:
Thornhill between Barrack Street and Shaw's Brow, is a congeries of little dwellings, to which access is had by means of several flights of steps. The district is known by the names of `Little Ireland ' and 'Little Hell.'
on my CD ROM there is a photo and map showing this area