Reek
As the night ended and the sun rose, Reek felt a strange sense of relief. His master had never forbidden him to feel relief, even if he wasn't allowed to be happy. At first, Reek had missed the warmth of the Dreadfort, but that was before he saw how pleased his master was to be beyond the Wall. Master knows where we are going. Master knows everything. We wouldn't be here unless he had a reason and master always has a reason. Of late, Lord Ramsay had not even bothered to punish Reek for letting the bad man trick him into thinking disloyal thoughts. All the Lord of the Dreadfort seemed to care about was keeping his son alive and reaching whatever place they had been marching towards. Reek had learned not to count the days that passed. Instead, he counted the men that were gone...
Lord Bolton had left the Dreadfort with a large group of men, but as the days grew shorter, the nights longer, and the howls from deep within the forest became louder and louder the men began to disappear one by one. Some like Locke simply disappeared without a trace. Not every man vanished so quietly though. Two nights ago, Reek had heard Sour Alyn's screams echoing through forest. Everyone disappeared until the only ones left were Lord Ramsay, Reek, and the future Lord Bolton in his arms. If Lord Bolton had noticed any of this, he showed no sign. He would simply keep walk and walk, staring at the trees as though he were looking for something.
"Do you think it ever stops being white, Reek," asked Ramsay. "It's always white in this forest. Don't you think it would look better in pink or red?"
"Yes, m-master," Reek replied. If master thinks the snow should be red, then it should be red. Master is never wrong!
"Good. I imagine we'll be seeing quite a bit of red snow once we return to Winterfell. I suppose I shall be needing a new son. Hopefully one of those wolf cunts is still alive. The boy Myranda gave me simply will not do if I am to make father proud and honor his wishes. If I am to do all that he said I must to truly become his son. To erase all memory of that little shit his fat whore."
"I – "
"Have you ever heard of the Others, Reek?"
"No…I mean y-yes, master." They rode dead horses and had spiders as big as hounds…
"They're here. Hiding in the snow, watching our every move. We shall meet them soon, I think."
"And we...we..."
"Don't worry, Reek. It's not what you think. I didn't come all this way to get myself killed. That's what the other men were for...what Myranda's son is for. We must all make sacrifices."
"Of course, master. But – "
"Did you know that the first Night's King was a Bolton?"
"N-n-no, Master. I –"
"The way I see it, if one Bolton can rule the Others, why can't a second? I believe we shall have a very important part to play in the coming winter, you and I."
"Yes, master."
...
"We should be there any second," said Ramsay.
As they walked, Reek heard an odd chant coming from the forest, although he did not understand any of the words. It was only a whisper at first, but it quickly grew louder and louder. Soon there were dozens of voices chanting.
"Here."
"Master?"
"This is the place, Reek."
There were no trees in this part of the forest...only a large, flat stone that was shaped like a cradle. The Lord of the Dreadfort placed his crying son on top of the stone. Lord Bolton smiled and then he started to laugh once the first of the Others emerged from the forest. They were real… Master knew they were real. Master knows everything. The bad man can't trick me into running! Master...he...he wouldn't come here without a reason! He knows...he has to know...he...they're real!
Pale and blue-eyed, wearing armor that Reek had never seen before, more and more of the Others emerged from the woods. They quickly surrounded Reek and Lord Ramsay...and then one stepped forward.
"Master –"
"Silence! This is a special occasion."
An Other with a crown of spikes coming out of his head slowly walked toward the baby, taking it in his arms. He put his index finger on the child's cheek and Reek saw the infant's skin turn as pale as the rest of the Others. The creature then approached gave the child to one of his warriors and gestured for Lord Ramsay to approach him. The Lord of the Dreadfort walked towards the Other step by step and it touched his face with its index finger.
Reek watched as his master's skin turned as white as the moon and his eyes…they became the bluest thing that Reek had ever seen. Some men might have thought that they were the eyes of a dead man, but Reek could see that his master had never been so alive. Reek fell to his knees as one of the Others approached him, but Lord Ramsay said something in that strange language the Others seemed to speak and the creature left him alone. Why have I been spared?
"Lord Ramsay, I...I..."
"No, Reek," Ramsay replied. "Not Lord...not Ramsay! Not any more. I...I... That n-n-name is...wrong. It...it is not a name fit for...fit for... It is not...that name is not of the winter. We have our own...I...I have a new... My name...my name is Dulrihan."
AN: Just to be clear, this is still the same Ramsay we all know and love to hate. I just figured the Others probably have their own culture, names, etc (seems ripe for fanfic exploration imo, given how little we really know about them). The way I see it, species loyalty and a person's name probably change pretty quickly after someone becomes an Other. However, if you're old enough to have your own identity before the change (i.e. you're not a baby), one's personality doesn't really change much at all and some memories may take quite some time to fade away (others might disappear much more quickly). Dulrihan is basically just what the Others would call Ramsay.