Frille was on the boundary between Westfalen and Schaumburg-Lippe. The
larger part, including the church, was in Schaumburg-Lippe. The other part
was called Preussisch Frille, in the Prussian province of Westfalen
(Westphalia). Frille was never in the Kingdom of Hannover.
For a good 1912 map of the area, see
http://www.genealogy.net/reg/NSAC/SLP/map.html