Okay it seems to me that there is a lot of confusion as to what really happens at the end...
First thing's first Inuyasha and Kagome do not kiss, they do not have kids either, But it is implied that tthey are going to get married and live in the past together.
Sango and Miroku go off and have three kids together.
Rin's living in the village with Kaede, and Sesshomaru visits her and give her gifts freqently, which implies courtship.
And that's really all you need to know. And before you all spout out any non-sense, would it kill you to verify by checking wikipedia, reliable fansites or reading the manga. Which you can read
here.Sorry for the snark I'm just amazed at how many people belive these rumors, and that the've been around for years. This is why we don't get nice things!
I'll be going now... *goes off to discuss the Zelda timeline and strategies to beating the water temples*