These enclosures, when they survive at all, often do so only as a faint arc in a field boundary or, as here, in the inherited shape of a later graveyard wall. The scholar L. Swan noted in 1988 that the sub-circular form of the graveyard boundary at this site was consistent with the presence of such an enclosure beneath or around it.

The place-name itself carries a considerable amount of history. Taghmon derives from the Irish Tigh Munna, meaning the house of Munna, a saint who died in 635 and whose feast day falls on the 21st of October. Munna was the son of one Tulchán, though his precise origins have been a matter of some debate among scholars. He has been associated with the Ceinéal Conaill of Donegal, with the Corca Raoidhe, the people of the Corkaree region of Westmeath, and with the Corca Oiche of Limerick. That three distinct dynasties in different parts of Ireland each have a claim on him suggests either a saint of some considerable prestige or the familiar pattern of later communities attaching local holy figures to influential genealogical lineages. Whatever his origins, the naming of this place after him points to a foundation that was already being remembered in his name within living memory of his death, or not long after.