Templeashineen, in the townland of Rinnahulty in County Mayo, contains within it the Irish word "teampall", meaning a small church or oratory, and "aisínín" is thought to relate to a diminutive or personal name, suggesting that what once stood or was commemorated here carried the identity of an individual, a founder or a patron saint now largely forgotten. Sites with "teampall" in their names typically mark the location of an early medieval ecclesiastical enclosure, sometimes no more than a modest stone cell, a burial ground, or the memory of one, persisting in the landscape long after any structure has vanished.

Beyond the name itself, the documentary record for this particular site remains thin. It appears on the archaeological register for County Mayo, which places it formally among the recognised monuments of the region, but the specific details of what survives at ground level, whether earthworks, stonework, or simply a field boundary with an old name attached, are not currently available in published form. Mayo has a remarkable density of early ecclesiastical sites, many of them rooted in the monastic and pastoral Christianity that spread through the west of Ireland from the fifth and sixth centuries onward, and Rinnahulty sits within a landscape where such survivals, however subtle, are not unusual.