Book Two, chapters 1 and 2 are not (yet) well annotated by McHugh or Fweet, because the published versions are heavily 'barnacled'.
With Hayman's (1963) help, we can begin to unpack the simplest early layers, in chronological order:
II.2 Muddest Thick 1926? (cf lost 1924 vignettes)
II.1 Mime of Mick Nick & Maggies1930?
II.2 pre-draft-six 1934?
II.2 draft six1934?
II.2 Issy's letter 1934?
II.2 Storiella 1934?