Its name, Toberadoney, translates from the Irish as "Sunday well", which immediately suggests a particular kind of significance. Holy wells dedicated to Sunday observance were places of pattern, the term used in Ireland for a localised devotional gathering, often held on a specific saint's feast day or on Sundays, involving prayer, ritual circumambulation, and the leaving of votive offerings such as rags, coins, or rosary beads tied to nearby branches. That no such offerings were visible on inspection is itself quietly telling, suggesting either that the tradition had lapsed or that the site had faded from active devotional use.

The name appears in Gothic script on Ordnance Survey six-inch maps from both 1838 and 1933, which confirms the well was recognised and considered worth naming across nearly a century of cartographic record. The scholar P.W. Joyce and others documented the widespread Irish place-name element "tobar", meaning well, combined here with "Domhnaigh", meaning Sunday, a pairing recorded by O'Flanagan as early as 1927. The well itself is a natural spring, roughly 1.1 metres in diameter, and an underground stream appears to emerge from it and flow westward. The enclosing wall, built from two courses of irregular limestone blocks, is functional rather than ornate; it marks the well without monumentalising it, in the manner of many rural spring enclosures across the west of Ireland.