How did the concept of ownership arise in the world? How was the concept of private property separate from this?
Evidently, the legal concept of private property came to have a legal meaning in the 17th century. See. The Meaning and Definition of "Property" in Seventeenth-Century England, by G. E. Aylmer, 1980. Oxford University Press. Past and Present, No. 86 (Feb., 1980), pp. 87–97.
This is a question to ask anthropologists and archaeologists -- a matter of prehistory, not history. In our first historical records, property is already a well established concept. In Mesopotamian cuneiform tablets we find extensive discussion of property, including landholdings, sales, rentals, contracts, taxes and disputes.
Historians don't have the tools to address the question you ask as it arises long before there's any historical record; a very recent paper in Science by archaeologists, anthropologists and population geneticists gives an idea how the appropriate disciplines are engaging topics of property and inequality in prehistory
Kinship-based social inequality in Bronze Age Europe
and
Lucy Tibble and Susana Carvalho, Rethinking the evolution of property and possession: A review and methodological proposition, Evolutionary Anthropology: Issues, News, and Reviews, 27, 6, (285-296), (2018).
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