I noted before that the different sections of "Ladies Aid Society" alternate time signatures, but I realized that this change in the music also reflects the shift in the narrator: the verses, in 4/4, are sung by Davy Jones, but the choruses, in 3/4, are sung as if by the titular Ladies Aid Society.
This contrast may even indicate the ideological opposition between "long-haired singing groups" (who would typically play in 4/4) and the society (who proclaim, "We're the Ladies Aid Society" in 3/4).