There's not a lot of information out there on Berger that I know of.
There are two Apex's in the 1911 catalog, a No 0 & a No 0-A. The same No 0 Apex lantern pictured in the catalog that Pearson identified as an 1889 catalog is shown as a No 0-A Apex in the 1911 catalog. The other Apex in 1911 is listed as No O Apex and looks like a Defiance lantern with a cross-over globe guard and a modern lifter.
I think Berger only lasted from 1889 to 1911.
John M