A Double Limerick

Madeleine provided the first and sixth lines in consecutive weekly limerick-offs. I thought I'd try a "through-story," having missed the first deadline!

A hard-working author named Fink
Would sit in his bedroom and think.
The walls of his room
Began to assume
Projections best left to a shrink.

There once was a woman named June
Who sang to a Finkian tune
Of sex long repressed
Pretentiously dressed --
What Henry'd've labeled jejune.