The earliest book I could find was for the year 1880. It marks the number of tickets sold each day and for what destination.
I also found this book titled "Record of Coupon Tickets Received and [________]"
This is what it looks like inside for year 1893.
It doesn't want to load the right side up but if you don't mind tilting your head you can read who was the conductor, engineer, departure time, number of cars, etc. for the year 1898.