Sorry Lyn, no...but the doors in the "round window" make it look as though it was some kind of mill (think there would be a block and tackle there). I can't imagine that's possible in the area, can you?
Maybe a paper mill though....it's about half way down the left-hand side of Kenyon Street, if you're walking down it from Caroline Street to Constitution Hill. I'd love to know what it was originally.