The calculated distance (air line) between An Muileann gCearr and Palmerstown is approximately 41 miles respectively 67 kilometers.
By car or train, the actual journey to Palmerstown is certainly longer, as only the direct route (as the crow flies) between An Muileann gCearr and Palmerstown has been calculated here.
Air line (approximately)
67 kilometers
36 nautical miles