Morality ultimately resides in the ideas and behaviour of humans (assume that there are no smart, ethical aliens for the moment).
Thus, if there were no humans, morality wouldn't be.
However, we seem to have developed it for beneficial evolutionary reasons. I'd wager that for any animal broadly similar to us, something like morality and group dynamics would develop.
Of course, one can't know this, there's loads of good sci-fi built on this not being the case, but in the same way the complex eye replicates itself again and again in nature, in multifacetedd ways, in drastically different creatures. Consider how different an insect, octopod and mammalian eye are. But having an eye confers such an advantage on a planet such as this, so these diverse animals all have them.
So it's as if we can say, that for a certain type of animal, in X, Y and Z conditions, its a FACT that an eye is advantages.
It's an odd thing, a fact like this. What's its ontological status? It is supervenient on more fundamental rules of nature. If there were no planets in the universe, as there weren't in it's early history, then in a sense there was no geography. Yet as soon as planet begin to form, they do so in certain consistent and rationally comprehendible ways, and we have geography, with geographical facts. Geography exists, factually, but only when there are bodies to which it applies
In the same way, morality exists, when there are moral agents (not that I believe they have agency). Language exists only when there are those that can speak it, yet linguistics can be considered a science, with its own OBJECTIVE facts (basics structures of all human grammar and so on).
So is morality objective, actually existing? Yes, but supervening on other natural facts, and laws.
As to what the natural law, physics, reality that these things are derived from really are, ontologically speaking... It's late, I just finished a shift and that's a long pitch. My monism is getting the best of me.
What I've written is very skatty, but hopefully I gave some sort of idea. I'll update when I can if it interests you. And I need to read that article. and pick up on some of FamFive's points.