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Ecclesiastical titles (order of precedence)
Pope Cardinal Cardinal Vicar Crown Prince Protector Moderator of the curia Chaplain of His Holiness Papal legate Papal majordomo Apostolic nuncio Apostolic delegate Apostolic Syndic Apostolic visitor Vicar apostolic Apostolic exarch Apostolic prefect Assistant to the papal throne Eparch Metropolitan Patriarch Catholicos Bishop Archbishop Bishop emeritus Diocesan bishop Major archbishop Primate Suffragan bishop Titular bishop Coadjutor bishop Auxiliary bishop Prelate Provost Pontiff Territorial prelate Territorial abbot
Liturgical titles Acolyte Consecrator Lector Subdeacon
Administrative and pastoral titles Auditor Brother Chancellor Chaplain Military chaplain Military ordinary Coarb Confessor Consultor Curate Deacon Archdeacon Defender of the bond Definitor Devil's advocate Diocesan administrator Ecclesiastical judge Exorcist Laity Lay abbot Abthain Commendatory Lay cardinal Minister Major orders Minor orders Missionary Monsignor Officialis Ostiarius Pastor Assistant pastor Palatinus Personal prelate Preacher Prefect Presbyter Elder Priest Principal Protonotary apostolic Reverend Saint Servant of God Blessed Venerable Seminarian Vicar Judicial vicar Vicar general Vicar forane Sub-dean
Consecrated and professed titles Abbess Abbot Consecrated virgin Corrector Custos Friar Dean Grand master Hermit Master of novices Monk Novice Nun Postulant Oblate Prior Provincial superior Rector Religious Superior general
Additional titles Almoner Altar server Archimandrite Archpriest Archdeacon Canon Captain General of the Church Chorbishop Coarb Commissary Apostolic Datarius Gonfalonier of the Church Honorary Prelate Minor canon Notarius Ostiarius Peritus Postulator Prebendary Precentor Prince-bishop Prince-abbot Prince-primate Prince-provost Promotor Fidei Protopriest Protodeacon Protosyncellus Regionarius Sacristan
Organization titles Grand master Knights Hospitaller Order of the Holy Sepulchre Teutonic Knights Inquisitor Grand Inquisitor Preceptor
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A coarb, from the Old Irish comarbae (Modern Irish: comharba, Latin: hērēs^[1]), meaning "heir" or "successor",^[2] was a distinctive office of the medieval Celtic Church among the Gaels of Ireland and Scotland. In this period coarb appears interchangeable with "erenach", denoting the episcopally nominated lay guardian of a parish church and headman of the family in hereditary occupation of church lands. The coarb, however, often had charge of a church which had held comparatively high rank in pre‐Norman Ireland, or one still possessed of relatively extensive termon lands.^[3]

Also as per this article "... such lucrative monastic offices as “coarb” (comarbae “heir” to a saint) or “erenach” (airchinnech “superior”), otherwise transmitted by natural or nepotic descent within ecclesiastical families, which were often the politically displaced branches of royal dynasties"

The coarb of Columba

In medieval Ireland and Scotland, the coarb of St Columba (Medieval Gaelic comarba Coluim Chille) identified the abbots who succeeded Columba. When the monks fled to their monastery in Kells, following the 9th-century Viking raids on Iona, their abbot continued to hold the title of coarb to reflect his direct inheritance: many of the early abbots were members of Columba's family.

The abbot of the collegiate church (i.e., monastery following the Rule of St Columba), who held holy orders and celebrated Mass ('serveth the cure'), was responsible for his monastic community. In time, the pattern of a Bishop and an Abbot of Iona was established, which after the Reformation and the Dissolution of the Monasteries fell into disuse.