The name Yeiri has its origins in the ancient Sumerian language, which was spoken in the southern Mesopotamian region of modern-day Iraq around 3500-3000 BCE. It is derived from the Sumerian word "ye'ir," meaning "river" or "stream," reflecting the importance of water sources in the arid Mesopotamian region. The earliest known reference to the name Yeiri is found in a cuneiform inscription from the city of Uruk, dating back to the 3rd millennium BCE.

In ancient Sumerian mythology, Yeiri was the name of a minor river deity associated with fertility and abundance. The name was often bestowed upon children as a symbol of prosperity and a connection to the life-giving waters of the Euphrates and Tigris rivers. As Sumerian culture and language spread throughout Mesopotamia, the name Yeiri gained popularity among various Semitic and Akkadian-speaking populations.

One of the earliest recorded individuals bearing the name Yeiri was a Sumerian priest and scribe who lived in the city of Nippur around 2500 BCE. His cuneiform tablets, which have been preserved, provide valuable insights into the religious practices and scribal traditions of the time. Another notable figure was Yeiri of Ur, a merchant and trader who lived during the reign of King Shulgi in the 21st century BCE. His business dealings and travels are documented in various cuneiform records found in the ancient city of Ur.

In the later centuries, the name Yeiri appeared in several ancient Mesopotamian texts and inscriptions, indicating its continued use across different cultures and dynasties in the region. During the Neo-Babylonian period (626-539 BCE), a high-ranking official named Yeiri served as the governor of the city of Babylon under King Nabonidus.

As the influence of Mesopotamian cultures spread, the name Yeiri also found its way into other ancient languages and civilizations. In the 5th century BCE, a Greek philosopher named Yeiri of Miletus is mentioned in the writings of Aristotle as a proponent of the theory of the eternal cycle of the universe.

Another notable bearer of the name was Yeiri ibn Harun al-Rashid, a renowned Arabic poet and scholar who lived in the 9th century CE during the Abbasid Caliphate. His poetry, which celebrated the beauty of nature and the power of language, was widely admired throughout the Islamic world.