It has been suggested that some of the pre-historical kings included Conand and Balor.

Eventually, however, they rise up and assault Conand's Tower on Tory Island.

After Nemed's death, Conand and Morc enslaved his people and demanded a heavy tribute: two thirds of their children, grain and cattle.

Nemed wins three great battles against the Fomorians, but after his death his people are subjugated by two Fomorian leaders, Morc and Conand.

His followers were then oppressed by Morc and Conand of the Fomorians, who lived in Conand's Tower on Tory Island.

Nemed eventually died of plague, and his descendants were subjected by the Fomorian leaders Morc and Conand, who demanded two-thirds of their children, wheat and milk as tribute.

Nemed's son Fergus Lethderg gathered an army of sixty thousand, rose up against them and destroyed Conand's Tower, but Morc attacked them with a huge fleet, and there was great slaughter on both sides.

According to these accounts, the Nemedians first seized upon the islands and were oppressed by the Fomorians, who are described as African sea-robbers; these races nearly exterminated each other at the fight round Conand's Tower on Tory Island.

In the apocryphal history of Ireland, Lebor Gabála Érenn, Tory Island was the site of Conand's Tower, the stronghold of the Fomorians, before they were defeated by the Nemedians in a great battle on the island.

He won three more battles against the Fomorians, at Badbgna in Connacht, Cnamros in Leinster (in which Artur, Nemed's first son born in Ireland, died), and Murbolg in Dál Riata (where his son Starn was killed by the Fomorian Conand).

Nemed's son Fergus Lethderg and grandsons Semul and Erglan led a revolt against Conand's Tower on Tory Island, off the coast of County Donegal, and Conand was killed, but Morc led a counter-attack.

The name Alma also appears in Irish folklore in the masculine form; the son of Nemed was named "Alma One-Tooth", a noble prince who fought repeatedly for a respite in taxes issued by Conann on his people.