This puzzle, and solution, appeared in Raymund Allen, "A Happy Solution", The Strand Magazine, 1916, republished in Dorothy L. Sayers, editor, The Omnibus of Crime, 1929.
Incidentally, in case you're wondering about the unlikelihood of having a board in this state (retrograde analysis will show a lot of weird things), yes, that's part of the story. (It's a mystery story, and the detective's solution depends on his doing a retrograde analysis of this board.)
This puzzle, and solution, appeared in Raymund Allen, "A Happy Solution", The Strand Magazine, 1916, republished in Dorothy L. Sayers, editor, The Omnibus of Crime, 1929.