I live for the CABE
In my research, I came across this chain ring enough times to conclude it's not exclusive to a particular brand although it certainly helps given it's the most distinguishing clue in the photo.Came across this one that was just posted by @1898Columbia and then did a search and found one or same one on Worthpoint. Looks like a chain ring match with the gaps between the four rings.
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You are bidding on a vintage (early 1900`s_ mens bicycle, It says on the front badge Princeton 48 Warren St. New York Little Falls New York , The tires say the size is 28x1 1/2 , the tires also saywww.worthpoint.com
It would be great to corroborate at least one other feature to come to a reasonable conclusion. I was hoping an eagle-eyed scholar of the era could do so but the photo offers so little else as far as I can see.
There is one other photo which sadly l either lost or possibly never copied for myself. It was however in the mounted frame I hung in the gym. It's of Charlie and the bicycle surrounded by about four girls huddled around him like he was some kind of rock star! Classic.
I could try to visit the community where he lived and retrieve a copy of it although I'd be pretty surprised if it was still there.
That is one nice looking Princeton! Made in NY too!