Morality is something that develops over time and helps the community survive.
Morals are "hard-wired" into the brains of all the animals and provide the "social glue" that allow often aggressive and competitive animals to live together in groups.
Just as in humans, the moral nuances of a particular culture or group will be different from another, but they are certainly there. Moral codes are species specific, so they can be difficult to compare with each other or with humans.
Human morality was not formed from scratch, but grew out of our primate psychology. Primate psychology has ancient roots, and I agree that other animals show many of the same tendencies and have an intense sociability.
Whales have been found to have spindle cells in their brains. These very large and specialized cells were thought to be restricted to humans and other great apes and appear to play a role in empathy and understanding the feelings of others.
There have been instances which show cross species empathy as well.
Animals that live in large communities also demonstrate a sense of justice and those who deviate from the code of conduct of a group are set upon by other members as punishment.
Animals show emotions and morality, just because they show it differently than humans do doesn't mean that are deprived of morality,