Arguments that morality is genetic often fail to recognize that many genetically-based behaviours would be termed immoral. In short, claiming a genetic basis for morality is as silly as claiming a religious basis.
On the other hand, a good chunk of philosophy arises directly from the consideration of morals - arguments over what is good and what is bad, and the attempts to derive a system of defining these that is not self-serving or self-contradictory. It would therefore seem that morality gives rise to philosophy, which results in new definitions of morality, and so on. Positive feedback cycle.
I will agree that many of the more intelligent animals - primates, birds and so on - have been shown to understand the concept of fairness, in that they get upset when another test subject gets consistently given more treats than they do. But I doubt that Papa Bear considers it immoral when he eats Baby Bear.