I was unaware of how important horses are to Ireland's culture and economy. Those shown above would appear to be Kerry Bog ponies.
"The Kerry Bog Pony is a small sturdy Native Breed standing approximately 102-117 cms for stallions and 102-112 cms for mares. The Kerry Bog Pony has a fine, intelligent head with large kind eyes. It has a strong and well set on neck, with a rounded shoulder and compact body. The Kerry Bog Pony is extremely hardy, resistant to many equine diseases, with great powers of endurance. It has ample bone, and can carry heavy burdens in relation to its build. Traditionally it would have been used as a pack animal carrying heavy loads. This rare breed is an ideal family pony, full of character and fun. Generations of use on small farms has produced a pony of calm temperament, willing and able to perform in a wide range of disciplines" (Irish Horse Gateway).