Property is not a natural subject. By nature, our “property” is the same property animals have- basically whatever we are holding or occupying and can defend by force.
As a society we’ve decided for a more complex idea of property, and together we have set up all kinds of organizations, from the county assessor’s office to the army, to make that happen.
But still, there are many things we have either decided cannot be owned, for the sake of the common good, or that simply defy ownership by their nature. We can also own all kinds of things that don’t really exist.
By our own rules we can’t own other people. We can’t sell our organs. We have somewhat limited rights to our land. We can’t own some objects- such as nuclear missiles or buckets of lead paint. Sovereignty gets weird, but in general you can’t own a country. You can’t own the moon or Antarctica or the deep ocean.
By nature we can’t own things like colors, spirituality, numbers, raw concepts, flocks of migrating birds, the air, facts, recipes, etc. There are some things that defy any attempt to control them.
Things we own that are made up include money, stocks, companies, carbon futures, contracts, liquor licenses, etc.
Intellectual property runs somewhere in between all three of these. I think it is an intangible that to some degree is uncontrollable. You can’t keep people from singing your song in the shower. You can’t keep them from wacking off to fantasies of your characters screwing. You can’t keep them from imagining and re imagining your stuff. And you can’t keep your stuff out of their stuff. If intellectual property didn’t build on it’s predecessors we’d all still be reading Beowulf and playing Pong.
So no, owning it isn’t particularly natural. As is made clear by the fact that the concept of intellectual property was pretty much non-existent through all of human history. Indeed, we have to put up all kinds of constructions to make control of intellectual property even somewhat possible, and those don’t work well since they go against the very nature of information.
As a society we have agreed that these structures are useful when it comes to “promoting the production of the useful arts.” If we want to talk about some kind of “natural right” to one’s work, that is antoher story and one we will need to work out as a society.