Stop me if this has been noticed before, but I just heard a song called Little Egypt by The Coasters, and there's a bit in the middle that is strongly reminiscent of She's Goin Bald. I'm thinking of "She drew a comb across her scalp, and brushed what she had left..." where the chords go up in steps. We know Brian (and Mike) were big Coasters fans; I wonder if they were doing a little cheeky homage?
Listen at
https://www.youtube.com/watch?v=1d8uEP5-iKc and the specific part is at 1:38.
"Little egypt" is a classic. Love that song. Elvis also cut it for his '64 movie "Roustabout":
https://www.youtube.com/watch?v=4u65wEvTnSUFunny that you mention this because I had the same thought about "She's goin' bald" although with a different Leiber&Stoller song by The Coasters, "Along came Jones" (listen for the "and then, and then, and then"'s):
https://www.youtube.com/watch?v=H67VNQ2_xfk