Thanks for the input. To clarify, because I'm not a bicycle expert, please explain the following:
Fender bridge- is this what joins the fender to the frame? It's that hollow tube that actually touches the top-most part of the fender. Your machine has two of these bridges for the rear fender. NONE for front fender.
What do you need to see? Clear and Close-Up Fotos ... Side View ...
The frame photos- what detail do you need to see? Clear and Close-Up Fotos ... Side View ...
The badge looks like it has been on there a long time. It wouldn't be the first time somebody put a badge on an item to make it look better. But is there a chance that Miami made bikes for Columbia contract, which then badged them as their own? No ... Westfield (maker of Columbia) totally dwarfed Miami Cycle & Manuf. Co.
This definitely happened in WWII with subcontractors (other than bicycles) and I am wondering if it happened in WWI as well.