This first one I haven't read in a long time, but I read it numerous times in the past. This one has sequels to it.
A Simple Legacy by elle. Rating: T
Summary from Author: Inuyasha’s erratic youkai transformations forced Kagome to seek help from Sesshoumaru in more ways than one. Unsurprisingly, the taiyoukai balked at the idea...until Kagome offered him something in exchange for his help.
There is another favorite out there, but for the life of me I can't find it anywhere. It used to be on Fanfiction.net, but either the author took it down or the site did. It was a dark beginning where everyone betrays Kagome because of Kikyo's influence. Sesshomaru saves her and other dog demons from travelling from across the seas visit for a while. I think they were from the UK ... See? It's been so long that I've been hunting for it that I have forgotten where it was! But they help Sesshomaru with getting to know Kagome. I remember reading it so much that, since I was on dial up internet at the time, I one night set up my computer to download it. That way I could read it, even when the internet would be too slow to handle....If I find this beauty again, I will gladly send it your way.