Talos and Ysmir were anrfgy at eachother. Ysmir broke into the palace intending to kill Talos. Talos ordered Arctus to capture Ysmir's (divine) soul in the mantella. Ysmir ripped a hole in Arctus's chest to stop him. When the dust cleared, Arctus found his soul trapped in the gem instead of Ysmir's. Ysmir found himself stuck in Arctus's body and Talos either assuemd he had Ysmir's soul in the gem and that Arctus had betrayed him, or he knew the truth and didn't care.
I always thought it was Arctus and Ysmir and Tiber Septim was the witness. Arctus and Ysmir cancelled each other out and eventually became one in the same, symobizing the split male. Tiber Septim watched and took advantage of the situation.
There is no female principal in the Talos example, and none in the Malcath example (just to name two). these conflicts are simply the result of mutual animosity between two others.
The female principal is always female. It's just the motivation for the split in a manner of speaking. The Talos example is the Numidium, and the Malacath example is Beothiah. The Chimer people is the witness.
Here is my take, like what Nalion did.
Anu/Padomay, NIRN, witness [unknown, possibly Sithis]
Akatosh/Lorkhan, NIRN, mortals
Pelinal/Pelinal, Alessia, Morihaus
Triminac/Malacath, Beothiah, Chimer or Triminac/Malacath, Chimer, Orsimer
Arctus/Ysmir, (I'm not sure if Tiber is witness or female principal. He could be both.)