Sorry, but I did not find Arthur Dorsey listed as owning any property in Prairie du Chien. I looked at the 1920 Census and it shows that they lived at 610 N Michigan. She is listed as Jenney and they have 4 children- Catherine,6; Margaret, 4; Genevieve,2 and Arthur, 0.
The area that includes N Michigan St was listed as being owned by the Ahren Bros. I would assume they probably rented. N Michigan St still exists in Prairie du Chien. It is near the cemetery.