That's it, Danish Maid, Chicago's whipped butter specialist.
The company has been in Chicago (located elsewhere) since the 1950s when they pioneered the whipped butter cup. They make Clarendon Hills butter but are probably best known for the butter lambs you see in the stores before Easter.
Honey Boy was a local ice cream company that I wish I knew more about. Here's a little more of the old smokestack (that was going to be the next clue).
Honey Boy Ice Cream was in business during the 1920s until it was bought out by Borden around 1930. I don't know if it was related to Honey Boy Ice Cream of Winnipeg, best known for issuing a set of now highly collectible baseball cards during the 1920s.