For a lustrum, the young Lord of the West had traveled through the lands he now ruled, honouring his name in cruel, merciless ways, sometimes even wiping out entire generations of youkai over an insult, but this level of cruelness in his behavior was the way he had to deal with his father's death and, at the same time, demonstrate he was capable of taking over and lead the Western Lands.
Wandering on his own and without direction, Sesshoumaru had had time, a lot of time to think. He no longer blamed Izayoi or Inuyasha, for they hadn't been the ones to extinguish His life, but he did think of them as the reason for his father to take his mortal decision.
A couple of times he had even wandered close to the new residence of the second woman his father had chosen. It was a noble house in a nearby feud, southeast of the family of the moon's territory. Apparently Izayoi's father had had a good relationship with the noble family that had allowed her to stay, but even when they were honoring that good relationship and accepted her along with Inuyasha, the treatment they would receive was cold and rude. Yes, they kept their noble titles, but, for this house, they were less valuable than slaves, but out of fear, they were still treated like nobles.
Sesshoumaru never wandered too close or stayed for a long time in the residence, nauseated at witnessing the undignified treatment, and, the very first time, his discreet visit was interrupted when he heard Inuyasha cry…his little brother. The young Lord of the West took that sound as his signal to leave, even though his instinct urged him to make sure the youngest member of the pack was safe…his family, huh?... However, he ignored that impulse and walked away without seeing even once the little hanyou. Inuyasha.