Cute little oldie. It measures 17 x 17 cms. Unfortunately, I only have the lid of the box (with rules on the back) and the board (which used to be the bottom of the box).

This game is dated (1910)  in Alex G. Malloy's "American Games. Comprehensive Collector's Guide".

Well, you can print the board and play. You welcome  ;-)

Wait, you will need one of those!
This game still included a spinner instead of dice.

Here is a found picture (I mean, I did not take it) of another game in this series.

Look at this picture I found on eBay: It is another version of the same game, but it is called "Bicycle Game". According to Malloy's book, Milton Bradley produced a game called "Bicycle Game" in 1895. It might be this one. (By the way, notice the teetotum, but also notice there are far too many things in the box, including dice).