Less known is the fact that by around 1830, one of the village's three recorded churches had been quietly demolished, its stones removed and its ground cleared so thoroughly that nothing remains above the surface today. The 1837 Ordnance Survey six-inch map still marks the spot, annotating it simply as "Site of Templefeenan", a place-name that preserves a ghost where a building once stood.

The church's original Irish name was Teampall Fionain, meaning the Church of Fionain, a dedication to an Irish saint that hints at pre-Norman origins. In Irish ecclesiastical nomenclature, "teampall" is a term that entered use after roughly 1200 in many parts of the country, so the name alone cannot settle the question of when the structure was first established. What is clear is that it was still standing, at least in ruined form, when Sir Henry Piers wrote in 1682 that Fore contained the ruins of three churches, Teampall Fionain among them. Writing more than two centuries later, in 1892, George Stokes could confirm that all three ruins had persisted into the early nineteenth century, "just as in Sir Henry Piers's time about 1680", before one of them was levelled to the ground around 1830. Stokes located that church outside what he called the Castlepollard gate. A later scholar, Bradley, placed it outside the North Gate specifically, though an unusual curve in the townland boundary at that point has led some to suggest the site may actually have lain within the town's enclosing wall rather than beyond it. Beyond its name, its approximate location, and the bare fact of its demolition, nothing is known of the building.