A happy ending to report:
An animal control officer popped by today to check out our chicken coop, in light of the anonymous complaints they'd been receiving about it. She found our coop perfectly acceptable, said that the complaints they'd received had no validity, and gave us permission to continue keeping our babies there, saying that we could call her when we'd finished building our complete chicken yard and she'd come back then for her "official" inspection.
And thus the Curious Case of the Completely Concealed Coop draws to a close, it seems.
On to the next case!