There is only one village in Germany by the name of Wittlage, 49152 Bad Essen-Wittlage. Years ago Wittlage was part of the Lutheran parish of Barkhausen-Wittlage. Each village had its own parish church, an unusual arrange but for those times the distant between the two villages was too great for one church. Later this geographically large parish was divided. So today the village of Wittlage has the parish church for Parish Wittlage.
There are 4 Brockhausens in Germany. The one you want is 49152 Bads Essen-Brockhausen and this Brockhausen receives its mail from Post Wittlage.
The other Brockhausens are:
49811 Lingen-Brockhausen
58708 Menden-Brockhausen
59510 Lippetal-Brockhausen
58089 Hagen-Brochhausen (Now part of the city of Hagen)
I would be very surprised if your ancestors where from these Brockhausens rather than at 49152 Bad Essen-Brockhausen.
The driving distances between the centers of Bad Essen to Wittlage is no than 3 miles and from Wittlage to Brockhausen is no more than 2 miles.
Cheers, Poetker