[link to original on tumblr]
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There's a slight difference in rhythm in the piano part at the very end, and the guitar part is done on electric rather than acoustic, but otherwise, this is pretty much the same as the studio recording. The organ parts in the radio version are a bit difficult to distinguish, so I just played what's on the studio recording.
Recording this brought up something that I've been wondering about for a while: there are two keyboard parts in "She's Coming Home," and I don't think they could be played simultaneously, so did Ken Jones (the Zombies' producer) play one? I vaguely remember something in the liner notes for the Beatles' Live at the BBC album saying that George Martin was going to play piano on "A Hard Day's Night" (although he got stuck in traffic or something and couldn't make it), so apparently using more musicians for radio shows was a thing that was done. And the Zombie Heaven liner notes mention Jones playing on a few other tracks (tambourine on "I Remember When I Loved Her" and piano on "Work 'N' Play"). I'm not sure if that's the case here, but the two keyboard parts seem too involved to be played simultaneously.