In May of 1890 it appears SF Hess began inserting puzzle cards in packs of Diadem cigarettes.
The card front explains the premise including "The Puzzle consists of matching together twelve (12)
of these cards so that one perfect Design, or Bond is formed".  

SF Hess issued these cards in "One", "Five", "10", "50", and "100" dollar denominations
for which cash would be awarded at the stated amount upon completion. 
Surely there was a chase puzzle card like nearly all of these early redemption offers,
making completion difficult.  All told, there would be 60 different cards to complete all five puzzles.

Flipping to the back, here is evidence that some of the puzzle's perimeter pieces are largely the same.  
This being the upper left hand corner of the puzzle (row 1, column 1 within a 3 row, 4 column, puzzle).

 It is evident that the top and bottom rows are similar in content for each denomination 
(different color, denomination stated on each card) whereas the middle row appears to utilize
 at least one of two different designs or layouts.  While the Five and 50 dollar puzzle cards 
appear similar in design they differ from the One dollar layout.  

Completing the middle row would be interesting for each denomination with some of the uniqueness 
spilling over into some of the bottom row cards.