Not Related. I grew up in Butler, IN, my dad ran a gas station and the next door neighbor was Garman Hallett, b 1887 DeKalb, Indiana, d 1970 Dekalb, Indiana. Garman was a farmer, farming the land that had been his parents up until he died.
The reason I'm commenting is because Garman and his wife tossed some old books that I looked through and found the book you reference but the sales version with only partial print to get you hooked. It had tin type photos and other old papers and was used as a journal for farming records. Before I took the book, I asked Garman about it and he said I could have it and that he was related to P. T. Barnum. I see several trees on Ancestry but can't find any reference to Garman.
I still have the book somewhere around here and will have to dig it out & look at it again.
Paul, Ohio, USA Gedmatch A228451, A428058 & A852254