Presumably Pontrhwnnws NGR 494 / 202, which Hall described as: "A few yards from the bridge at Llandilo yr Ynys, on the south bank of the Towy, an adit enters under the road, and can be followed for about 120 paces to its intersection with a lode, which strikes roughly 10 degrees west of north, and dips east. Here a winze has been sunk below the level, and some stoping done above. The adit continues beyond, but the partially collapsed state of the workings prevents full examination. Just before the lode there is a short cross-cur north-west, the end o which is blocked by debris. This seems to be at the position of a shaft, indicated at surface by a small dump, now enclosed in a hen-run. Further south, above the main road, are traces of another adit level, about on the line of strike of the lode."
Foster-Smith's description is much shorter; the only information he gives that Hall does not is that "the mine seems to have worked for a short time only at about the middle of the 19th. century."
W.J.Lewis mentioned it as one of a number of trials inspired by the 1850 success at Llangunnor.
I'm fairly local - please pm me.