Patna is a village in East Ayrshire, Scotland, straddling the traditional districts of Carrick and Kyle. It was established in 1802 by William Fullarton to provide housing for workers on the coalfields of his estate. Fullarton's father had worked as an employee of the British East India Company, and the town is named after the city of Patna in the Bihar province of India.Patna lies southeast of Ayr on the A713 to Castle Douglas at its junction with the road to Kirkmichael just north of Dalmellington. Patna lies between the villages of Polnessan and , and the River Doon flows through it.