November 8-13, 1954 are missing from gocomics' archive.
We've seen Lucy and Schroeder fight over the piano before, but this one I think puts Lucy's case forth as sympathetically as we ever see. Panel seven in particular is surprisingly effective, almost pleading. The dramatic thrust of the strip seems to imply that it was the offer of hot chocolate in the next panel that caused Schroeder's rejection. How mundane! But what else could she offer -- er, that's suitable for a kid's strip, of course.
Schulz and Peanuts seems to suggest that Schulz got ideas and energy for the Lucy vs. Schroeder strips from his personal life with his first wife. Schulz's family disputes that he got as many ideas for strips from his relations with people that the book suggests. My own theory, which I've stated before, is that a cartoonist can't help but draw from his surroundings, that eventually the contents of your brain end up on the page whether you intend it or not, and that would seem to agree with the book's angle on Schulz's work.
This is also, I think, the first panel in which Lucy notes her own face as being pretty, a habit of hers that spreads to her dealings with other characters, especially Charlie Brown.