The style of house being built by the dozens in the photo at the link you provided is known as a Foursquare, because the house is essentially square and there are four rooms on each floor.
The OP’s color photo of a brick house is typically referred to as an English Cottage, but larger more elaborate examples might be called a Tudor.
The expert who wrote the book says:
“Between 1908-1940, Sears sold 110,000 homes in about 370 different styles. (See note on styles.) Their sales records, promotional information, catalogs and other ephemera associated with the modern homes department was unceremoniously destroyed.”