Don't be so chauvinistic. Drop the word "human" from your post. ALL social animals evolve to some degree ideas about fairness, honesty, moral behavior, (and, like humans, cheat / violate these "moral rule" when the probable cost to them is less than the expected benefit).See also the link in next post for other social animals, especially the one with elephants where one elephant discovers how to "free load" on the efforts of the other.
For an example of "money lying" note: Monkeys have several verbalizations with distinct meanings. One indicates a ground based threat like a tiger, another an air based threat, like a hawk that could take a baby, etc. The pack was moving thru a berry field in a relatively open plane, but the older monkey could not quite keep up - by time he got to the next bush, most of the berries were gone. So he gave the tiger warning cry an rest of the pack ran ahead to scamper up a distant tree, while he continued slow movement thru the berry field with "easy pickings."
Even honey bees have assigned roles and do not shirk their duty. I raised a hive near the edge of a woods I owned and went to in the fall to cut up fallen limbs for fire wood, loading up my pick-up truck. Before entering the woods one day I sprinkled a little flour on one bee doing "ventilation duty" (feet clamped to the landing ledge with wings beating to move air into the hive. He was still there, doing his duty, more than an hour later when I got ready to leave. Bees in winter, when air temp drops below 42 F (if 35 year old memory is not failing me), form a bee ball in center of the hive to keep warm. Those on the outside struggle to the center rubbing against those that were there which are now struggling to move to the outs side. I read several books on bees - everyone who can and has an interest in nature, should keep a hive thru a winter and two summers at least.
SUMMARY: Evolution has made ALL SOCIAL ANIMAL have "morals" - Long term group beneficial behavior patterns. Humans are no exception, nothing special in this regard just selected for this by Darwin's observations.