I´ve read that one, but I don´t remember the name. It´s a long two shot tha takes place in modern times and Sesshomaru and Inuyasha's father is alive. In the first chapter Kagome ends up hospitalized because due to Sesshomaru's fault, a violent ex got hold of her, and beated and raped her. I remember the mention that she donated an organ for Rin (sessho´s daugther) without him knowing. As a consecuence of the beating/rape she won´t be able to have children and sessho's father tells him that if he wants a relationship with Kagome to never tell her it all was his fault cause she would never forgive him and it would serve as a punishment for him to keep the secret.
The second one is the Inuyasha/Kikyo story (it was connected to the first one but I don´t remember how exactly). As you said, all through the story Inuyasha makes us believe that Kikyo is alive until we found at the end that because of a fight, and while pregnant, she died in a car accident and he ends up hospitalized.
If I didn´t read it here, it was on adultfanfiction. Definitely not on ff.net
Hope this helps to locate the fic.