I couldn't link that link. It doesn't make sense that the Stone of Destiny would be in Ireland while the two greatest kings, David and Solomon, were coronated in Palestine. I think Jeremiah took it to continue the Davidic kingline through Tea Tephi.
1896 BC
"The Tuatha Dé Danaan (the Tribes of the Goddess Dana) came from the northwest, bringing with them, among other treasures, the Lia Fáil. They had developed and practised their magic arts in the North of Europe. They fought the Fir Bolgs near Cong, Co. Galway, and defeated them in the First Battle of Moytura. Their king, Nuada, lost an arm in the battle. "