Although Poussin's painting and the sculpture at Shugborough appear similar, there are subtle differences between them. There is only one sarcophagus in Poussin’s painting while there are two in the sculpture. Also, the sculptured version at Shugborough is actually a mirror image of the painting, meaning, everything was reversed horizontally.
 
These two works of art were meant to convey two different messages, or secrets. The sculpture was meant to convey the ritual used to generate the code of the locks and the actual code generated from this ritual.
The painting was meant to convey the location of the locks for which the Shugborough code is meant to be used, which in this case is the Hagia Sophia (41° 0' 31"N, 28° 58' 48"E). The Knights Templar and the Rosicrucians were known for their veneration of Sophia, the Goddess of Wisdom. It is therefore not surprising that they should include the Hagia Sophia (or Church of Sophia) as one of their four sacred sites.
The woman in the painting represents the Goddess Sophia, in whose church the two safe boxes were hidden under the floor tiles of where the sarcophagus of Henricus Dandolo used to be.
There is a Deesis Mosaic showing the images of Christ, Mary, and John the Baptist located just in front of Henricus Dandolo's tomb.

The three shepherds in Poussin's painting represent the three figures in the Deesis Mosaic, namely John the Baptist, Christ, and Mary. If you take a closer look at the shepherd whose back is being touched by Sophia, you will see that the face is clearly that of a woman; this shepherd therefore represents Mary. Also if you notice, the shepherd at the center reminds one of Christ’s posture while he was carrying his cross, this shepherd therefore represents Christ.
 
Needless to say, the single sarcophagus in Poussin's painting represents the sarcophagus of Henricus Dandolo. If you will make further research on Henricus Dandolo, you will find that he was involved in one of the Crusades, and therefore closely associated with the Knights Templar.

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