Eleanor, this is just to give you some background information:
You have to be aware that just like the U.S., Germany, too, has always been made up of STATES.
ENGTER was located in what was then the District (in German: Kreis) of BERSENBRÜCK -- or if written without the "Umlaut" (two dots) over the "U", BERSENBRUECK -- in the western part of what was until 1866 the German state of HANOVER (in German: Hannover), the capital of which was the city of HANOVER (Hannover).
Until 1945, Germany's largest state by far was PRUSSIA (in German: Preussen), the capital of which was the city of BERLIN.(Following German unification in 1871, Berlin became Germany's national capital as well.)Because of its vast size, Prussia was divided into PROVINCES.
As did most of the major German states, Hanover sided with Austria against Prussia in the Austro-Prussian War of 1866.Austria and her allies were defeated.Prussia thereupon annexed Hanover, which then became what was then to remain until 1945 the Prussian province of Hanover.
Following World War II and the break-up of the vast state of Prussia by the Allies, the Prussian province of Hanover, the state of Oldenburg, and the two very small states of Brunswick (in German: Braunschweig) and Schaumburg-Lippe combined to form today's new postwar German state of LOWER SAXONY (in German: Niedersachsen), with the city of HANOVER (Hannover) as its capital.
Engter is thus located in the western part of today's German state of Lower Saxony (Niedersachsen).
I should add here that Engter is no longer an independent town.In 1972, Engter was annexed by the nearby city of BRAMSCHE.So today, Engter is a section of BRAMSCHE.
Bramsche is located in today's District (in German: Landkreis) of OSNABRÜCK -- or if written without the "Umlaut" (two dots) over the "U", OSNABRUECK.
I will also mention that there is no such name in Germany as "Deaker".That would have to be an americanized spelling of a German surname.