I was re-reading this one when I saw your topic:
Table For Three, by Priestess Skye
It had been 500 years since they last saw each other. She's a chef lost in her grief, trying to rediscover herself. He's trying to remember who he once was. Two lonely people find themselves connected in a way neither would have thought possible.
Rating: M - Universe: Canon
Kagome doesn't exactly run away, but they struggle a bit before settling.
The Price of Vengeance, by YFate
SesshouMaru wishes to avenge the insults he has received at the hands of his hanyou brother...but is he ready for the price of that vengeance?
Fiction Rated: M
This one is very good, definitly worth reading, though it's not completed.