1880 directory (see ANTRIM RESOURCES for links to lots of other ones) lists Milliken St. off Ross St. (Albert Street to Panton Street) with the following street off Ross St.: Lemon, Peel, Colin, Alma, Omar, Balaklava, Milliken, Balaklava, Milton, Ormond.
Have checked Google Maps and I found Ross st. off Albert St. but none of the others listed- Google Streetview is available for this area and shows fairly recent house so it looks like the whole area has been redeveloped in recent years.
Large portions of Belfast were destroyed during the Blitz so it's possible this was why the area changed.