Both of these stories seemed to deal, at least on very basic levels, with sexuality. We see Maria (who has a name like [the virgin] Mary - a possible religious reference?) innocently avoiding intimacy, which is clear when she forgets what the back of the book calls "the more poignant second verse" of her song, one that discusses knightly suitors.
I also noticed that there was very little dialogue in this section. Not sure what that means though. Thoughts?
I liked A Painful Case a lot better. Mr Duffy is a really compelling character, which is evident from the first few pages, when he is described as having "an odd autobiographical habit" that leads him to narrate his life's events in third person. His relation to the theme of sexuality is shown when he goes on walks with (married!) Mrs. Sinico, but then ends his relationship (a word used loosely, I guess) with her after she touches his hand to her face. Once he reads about Mrs. Sinico's death, he begins to realize his role in it, and he feels bad that his rejection of her led her to become a drunk. I think that his own epiphany comes once he realizes that the woman is only a memory to him, and acknowledges that because of his self-imposed loneliness, he doesn't think he'll ever even be that, a memory, for anyone else.
These stories continue to be depressing accounts of real life in Dublin. The characters in them, however, are more mature, but this doesn't make them any less prone to feeling alone yet suffocated in Dublin.