For what it’s worth I found mine. Same handles, but mine is stamped Challenge Cutlery Corp. over Bridgeport, Conn. on both blades. Challenge went out of business in 1928.
Not sure it helps you but my guess would be both knives were possibly made by the same maker or at least the handle covers came from the same source. Yours has a long pull on the master blade so maybe the blades are from different makers.
Goins’ Encyclopedia of Cutlery Markings says Jaeger Brothers is a stamp used by Aerial Cutlery from 1914-1944. You can make an assumption that your knife was made between 1914-1928 (the year Challenge went out of business), or that possibly Aerial Cutlery acquired the handles or the tooling after Challenge went out of business, which puts the knife 1928-1944. Or you could assume someone put a Jaeger Brothers blade in a Challenge knife. Or..........?
More questions than answers unfortunately. Ain’t this fun?
Ken