The book is Alice's Adventures Underground, and available in facsimile from both Project Gutenberg and Amazon.
As I recall, it doesn't have the nastier bits, like the Duchess.
Perhaps someday Amazon will include searches on descriptions of book covers-- I believe this could be automated. Or maybe it's Google's job.
Anyway, I hope this post gets to the person who was curious about the book.
This entry was posted at http://nancylebov.dreamwidth.org/1042267.html. Comments are welcome here or there. comments so far on that entry.