“Myers Orts” at https://www.meyersgaz.org/place/20079011 has the following (this applies to 1871-1918)
Type D. - Lintrup is a Dorf (Village).
Lvl I Pr. - Level I shows which Kingdom or State the place is located in. Lintrup is located in Preussen.
Prov Schlesw. -Holst. - The Province shows which Province or State the place is located in. Lintrup is located in Schleswig-Holstein.
RB Schleswig - The Regierungsbezirk for Lintrup is Schleswig. The Regierungsbezirk is a government district that is in hierarchy between the State and Kreis level.
Kr Hadersleben - The Kreis for Lintrup is Hadersleben. A Kreis is a government district (similar to a U.S. county).
AG Rödding - The Amtsgericht for Lintrup is in Rödding. The Amtsgericht is where the Lower District Court is located.
StdA Rödding - The Standesamt for Lintrup is in Rödding. The Standesamt is where the Civil Registration Office is located.
BKdo Flensburg - The Bezirkskommando for Lintrup is in Flensburg. The Bezirkskommando is the District Military Command. You can look in the BKdo to find military records.
A Lintrup [self] - The Amtsbezirk for Lintrup is itself. The Amtsbezirk is the District Office.
ev. Pfk. 1 - Lintrup has 1 evangelisch Pfarrkirche (Protestant parish church).
The accompanying map show this location well inside of Denmark, I assume consistent with Dieter’s reply.
If you find the baptismal record for Ernst it is possible that it only names the father. I have found that some Evangelical Church records can be pretty sparse with detail.