The site was traditionally called 'Relick Murry' or 'Reilig Mhuire', an Irish phrase meaning Mary's cemetery, and although that name is no longer applied to the graveyard itself, it lives on in the name of the parish. The Church of Ireland building that now occupies the northern portion of the roughly sub-rectangular enclosure, measuring around 80 metres north to south and 68 metres east to west, was built over or immediately replaced the original medieval church of Relickmurry. Of that earlier structure, nothing remains above ground except three loose stone fragments scattered among the graves.

The Ordnance Survey Letters of 1840 noted that the original Church of Relickmurry was already occupied by the newer Protestant church by that point, suggesting the medieval fabric had been entirely absorbed or cleared long before. What the graveyard does preserve, however, are two graveslabs dating from the thirteenth or fourteenth century, flat carved stone markers of a kind that were common across medieval Ireland as memorials for clergy or persons of local standing. Their continued presence in the graveyard is a reminder of how long this ground has been in use. The Civil Survey of 1654 to 1656 gives a glimpse of the site at an earlier transitional moment, describing the glebe land near the parish church as fenced with a ditch and noted as 'at present wast without Improvement', a phrase suggesting the land had fallen into neglect in the disruption of the mid-seventeenth century.

Visitors approaching through the narrow lane from the main street will find the Church of Ireland building oriented roughly east to west in the northern section of the enclosure, a standard Christian alignment. The medieval graveslabs are within the graveyard and are worth seeking out for the quiet texture they give to a site where so much of the earlier history has otherwise been swallowed by later building and ordinary time.