Not as such, but potatoes both both Irish and sweet are vegetables so this is the place to post. I don't know how to answer your first post.
Irish potatoes are a cool weather crop. General practice is to cut a mature potato into pieces each containing two eyes (Dimples on the skin from which the sprouts emerge) Place the pieces about 4-6 inches deep and 12-18 inches apart in good friable soil about a month before last frost date. Since the tubers form above the roots, the lower part of vine needs to be continuously recovered ( hilling or mulching) as the plant grows.
In storage spouting potatoes will generate small tubers which are feeding off the stored energy in the mother potato. They never seem to do much. Bottom line. You need a robust vine to make new potatoes. Note that I am a field planter. Closest I have come to container planting is potato towers which were a fad at the turn of century. I was not impressed with the results nor do I see many folks promoting it today.