A Brief History of the Marque
1923-1925 (or 1927) Berlin-Burger-Eisenwerk AG, Berlin
The Berlin-Burger-Eisenwerk AG was a very small company that entered the market with a 117 cc model 1924 and did not have much chance of survival due to the inflation which preceded the 1929 economic crash.
N.B. There were other manufacturers using variations of the name B.B. or BE-BE. Tragatsch refers to this one as an "iron-making" company.
Sources: GTU Oldtimerservice, Tragatsch p84.