There seems to be some confusion about the some villages and parishes about in the area of Melle and Bad Essen There are 5 Barkhausens but only 2 or 3 are in this area: The address for one is Barkhausen of Kreis (county) Wittlage with the address 49152 Bad Essen-Barkhausen and this Barkhausen was the one with the parish church, St., Katherine, for the old Lutheran Parish Barkhausen-Wittlage. The village of 49152 Bad Essen-Huesede is in the parish and is very near to this Barkhausen.
Confusion is the fact that the parish of Buer directly on the south border of Barkhausen-Wittlage also has a Barkhausen, 49328 Melle-Barkhausen. The parish church here is St. Martini in Buer. This Barkhausen and the Bad Essen-Barkhausen are only about 2-3 miles apart.
And, there is 32758 Detmold-Barkhausen that I don't think is the for the people mentioned in your messages, it would not be impossible for it is only 10 or 12 miles to the east.
Huestadte is a small place in the northwest portion of Parish Buer and very close to Bad Essen-Barkhausen, and Huesede is in Barkhausen-Wittlage.
In my family families lived in all of these places so a family could easily have ancestors in all of these places. I have had many Poetkers who lived in both Barkhausens and Huesede and Huestade.
The old Parish, sometimes it was Barkhausen-Rabber or Barkhausen-Wittlage are now divided in to the Lutheran Parishes of Huesede, Wittlage, Linne, Lintorf, Barkhausen along with other parishes in Kreis Bad Essen. The parish of Buer of Kreis Buer is the same except of a small east portion that is now part of Parish Roedinghausen.
Good luck with your research,
Prof. J. S. Poetker