Celtic Meaning: The name Piran is a Celtic baby name. In Celtic the meaning of the name Piran is: St. Piran is the Cornish patron saint of miners. SoulUrge Number: 1.Expression Number: 4. People with this name have a deep inner desire to use their abilities in leadership, and to have personal independence.eltic Meaning: The name Piran is a Celtic baby name. In Celtic the meaning of the name Piran is: St. Piran is the Cornish patron saint of miners. SoulUrge Number: 1.