Archbasilica of St. John Lateran
Coveney was born in Tracton, County Cork, Ireland, studied at Maynooth College (obtaining the academic degree of Bachelor of Arts in classical languages and literature), and the Pontifical Irish College, Rome, Italy (obtaining the Licentiate of Sacred Theology), and was ordained, aged twenty-four, as a priest on 21 February 1959 by the archbishop vicegerent (deputy vicar general of Rome) Luigi Traglia in the Archbasilica of St. John Lateran.