This fic is set in modern times. Kagome moves into an apt building where Sess lives. I remember they always ride up together but never speak. Eventually they have a torrid love affair and then he goes somewhere. She is left pregnant and then they meet again on the elevator after she's had the baby. I remember the scene where theymet again afnhe had another women anfd she has the baby in the stroller with a hat on his head covering his markings so he can be recognized. Any clues?

That one sounds like Speaking Without Words (rated MA) by sesshou_lover.

That's it. Thanks

Oh, that's a GREAT story, by a GREAT author! And the answer was provided by a most awesome Dokugan. Hi, CritterWhisperer. I'm going to re-read sesshou_lover's stories right now!