An edition, presumably the first, was reviewed in the "Saturday Review" (London) for Aug. 22, 1887. This is most consistent with actual publication in 1887.

World Cat does not seem to list an accessible copy of the Second Edition.

I see now that Q's "Revised Ed." (for clarity, the "final edition") includes a "Simplified Version" of "A-Roving" (37b) that does not appear in the Third Ed. Q, can you post?