The name translates roughly as the church of Enda, and the settlement that grew around his foundation became, in the early medieval period, one of the most important religious sites in the west of Ireland. Within that landscape of saints, stones, and salt wind, there are burials, as there are across almost every ecclesiastical site on the islands, that carry the weight of centuries without much in the way of formal documentation.

Enda himself is said to have died around 530 AD, and the monastery he established drew students and pilgrims from across Ireland and beyond. The burial ground at Cill Éinne sits within this context, part of a layered sacred landscape where early Christian remains, including simple stone grave markers and the remnants of early churches, occupy ground that was venerated long before written records were kept. The Aran Islands as a whole preserve an unusual density of early medieval ecclesiastical remains, in part because their remoteness slowed later development and in part because the limestone geology of the islands made stone construction both practical and durable.

The village of Killeany, the anglicised form of Cill Éinne, lies near the airstrip at the island's eastern end, a quieter part of Inis Mór than the more visited Dún Aonghasa further west. The remains associated with the early monastic site, including the stump of a round tower and fragments of old church walls, are visible in the area, set among more recent graves that have continued to use the consecrated ground across the intervening centuries.