The name Doran originated in the Gaelic language, which was spoken in Ireland, Scotland, and the Isle of Man. It is derived from the old Irish word "dorann," meaning "wanderer" or "traveler." The name likely emerged during the early medieval period, around the 5th or 6th century AD, when the Gaelic language was widespread in these regions.

One of the earliest recorded instances of the name Doran can be found in the Annals of Ulster, a chronicle of medieval Irish history. The annals mention a man named Doran mac Gille Patraic, who lived in the 12th century and was a member of the Uí Bhroin family, a prominent kindred in County Armagh, Ireland.

In the late 12th century, a notable figure named Doran O'Daly was the Chief Poet of the O'Daly clan in County Westmeath, Ireland. He was renowned for his poetic works and was considered one of the most skilled poets of his time.

During the 16th century, a man named Doran O'Meara was a prominent landowner and chieftain of the O'Meara clan in County Tipperary, Ireland. He played a role in the Desmond Rebellions, a series of uprisings against English rule in Ireland.

In the 17th century, Doran Maher was an Irish soldier who served in the Confederate Catholic forces during the Irish Confederate Wars (1641-1653). He is mentioned in historical records for his participation in battles against the English Parliamentarian forces.

Another notable figure with the name Doran was Doran Kelly, an Irish Catholic priest who lived in the late 18th century. He was a prominent supporter of the United Irishmen movement, which sought to unite Catholics and Protestants in Ireland in the pursuit of independence from Britain.

While the name Doran has its roots in the Gaelic language and Irish culture, it has also been used in other parts of the world over time, likely due to migration and cultural exchange. However, the historical records and examples mentioned above highlight the name's strong connection to its Irish origins and its presence in various periods of Irish history.