BINGO! It is a Velie.
Stephen Velie was John Deere's son-in-law, having married his daughter Emma. Their son Willard is the man behind the Velie cars built in Moline. Both families were closely linked, and Velie remained a director in Deere & Co until 1921.
Now I found this car in an old magazine, and I thought it was nowhere in te internet. I just found it is, same car, same photograph. You've already earned a point for the make. The year and model will get another to whomever finds it.