Hello!
It´s not a monument for a specific Baden artillery unit, but for all Baden Gebirgs-Artillerie and Infanterie-Geschütz-Batterien.
Baden (XIV.AK) had the following according units:
Gebirgs-Batterie 1 (became later Württemberg.Geb.Bttr.11)
Gebirgs-Batterie 4 (became part of Gebirgs-Artillerie-Abteilung 1)
Gebirgs-Batterie 9 (became part of Gebirgs-Artillerie-Abteilung 3)
Gebirgs-Batterie 14 (became part of Gebirgs-Artillerie-Abteilung 5)
Gebirgs-Batterie 17H (became part of Gebirgs-Artillerie-Abteilung 6)
A lot of Inf.Gesch.Bttr. were set-up by the Ersatz-Abteilungen of the Geb.Battr.
Ers.Abt. of Geb.Batterien from Baden were:
Ers.Form./Geb.Kan.Bttr. 1
Ers.Abt./Geb.Kan.Bttr. 5
Ers.Abt./Geb.Art.Abt. 5
Ers.Abt./Geb.Art. 5 and 6 (combinied) (Ersatz for Infanterie-Geschütz-Batterie 1, 3, 6 and 9)
So, Baden Inf.Gesch.Bttr. were the numbers 1, 3, 6 and 9, even there were not only Baden soldiers, they were set-up by prussian order