So, I'm getting pretty desperate, I'd suppose you'd say. I remember reading re-creating this drawing when I was in fifth grade. I am now 27! So about 15 years. I'm decently positive that the name was Too Much, though I can't guarantee because I lost my original drawing that had the name(the one attached I just drew in hope of shaking up someone's memory) that was a copy of the picture that the writer posted with the story. I honestly don't think it was supposed to Sess/Kag fic, but it was only like 2 chapters long and was my first push towards the pairing.
Kagome was either mad at Inu Yasha or something along the lines. Sesshoumaru came across her while she was bathing. He tells her that she could be made into a demon and thus stronger. She agrees to go with him. They run through some high grass fields trying to get away from Inu Yasha. Honestly, that's about all that I remember, but I've been looking for it for a long time. I'm sure that it's lost to the wind, but I figured it would be worth at least trying. *I found my original copy of the fanfiction artist picture!*