Yet another option, for rooms where plaster, etc. are not in A-1 shape: strip the inside skin as possible, redo wiring (1928? I'd rip it all out) as desired, plumbing, whatever attach vapor barrier, and sheetrock.
Admittedly much more intense than just blowing in cellulose, but, as far as I can see from here, something to be prepared for.
Insulation is not THE answer to interior climate control, either. Sealing is very important, and you can often make big improvements very inexpensively, while you plan/work on insulation. Which then makes vapor barrier very desirable.
Check with GPO (Boulder)-
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Lots of good publications available there, from gummint research, etc.
HTH, J