An Ancestor Named Kagome
Inuyasha and his gang take on the task of purifying a cursed sword brought to them by Akitoki Hojo, ancestor to the Hojo in Kagome's time. Back in present day Japan, Kagome finds out that Hojo has ancestor named Kagome, who married Akitoki! What does this mean for Kagome? Does she stay in the feudal era and marry Akitoki, or is it mere coincidence?
Aired 12/01/2004EP 137 - An Ancestor Named Kagome

2000
InuYasha
Kagome Higurashi, an average ninth grader, gets pulled into an ancient well by a demon, bringing her 500 years in the past to the feudal era. There, she meets Inuyasha, a half-demon who seeks the Shikon Jewel to make himself a full-fledged demon. With Inuyasha and new friends, Kagome's search for the Jewel of Four Souls begins...
(Source: VIZ Media)