No Shai, exactly that's the point and that is the fun - this house seemed almost like a "knocking shop", because of this moment when the landlady and the other girls came out of their rooms to see who was there (with his leathercoat on).. I think these lines must be one of the funniest ones he has ever written. I love them. Could be from a movie, really great picture!
I guess MK is not there and was "searching" here - I think he decided to say OK, she wrote me this letter, now let's be polite and see her...
I remember pretty well times when schoolmates of mine started studying all over Germany and were only at home in our hometown three times a year, and you had to keep track of where everyone was living now - and I was in Hamburg and one day I met a girl from my schooltimes at the subway coincidentally, it was funny to see her there, had not know about the stations her life had taken until she turned up there.. So I guess London as the Big City was of course a place where many other people from the past might appear - I only think about the "childlike hand" because I think that is pretty precise and decided.. it gives the only detail about the lady.. could be a reference to school times and old schoolmates, female ones..
LE