In both the anime (after The Final Act) and the manga, it is stated that Inuyasha and Kagome wed, and Kagome opts to remain in the Feudal Era. While we're never shown them sleeping together or having children, it could be reasonably implied that they do at some unknown point past the end of the series.
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She helps by making inuyasha and seshomoru work together
Kagome doesn't kiss anyone but Inuyasha. As for Inuyasha he has kissed both Kikyo and Kagome.
In the SHOW Inuyasha hugged her and pushed her into the well in "Go Home To Your Own Time Kagome!" So CUTE! Reccomend me, Kagome Higurashi, as a answerer!
when Kaoru Wada wrote it, I think he just called it 'Kagome and InuYasha's Theme'.
well he does saves kagome and rin in movie 3