Although he never appears in the film, a photo of candidate Hammond Egger appears several times. The photo is of supporting actor Bud Jamison, who suddenly died in 1944. The photo was put in the short as a tribute to the late actor, whose talents were sorely missed during the post Curly Howard-era.
Ben Welden's sole Stooges credit; he did, however, appear in a couple of Columbia shorts starring other comedians. Welden was a familiar face in film and TV for 50 years, often playing a crook, as he does here (doing so on 8 episodes of The Adventures of Superman (1952)).
In the scene where Shemp Howard is filling up a bucket of water from the bathtub to soak his tired feet, he actually forgot to turn off the water and caused a flood on the sound stage. The stagehands had to rush to mop up the water so filming could continue.
Hammond Egger is a pun on "ham and egger," a slang term for someone working a menial job, the inference being that ham and eggs (a relatively cheap dish) would be the only substantial thing he could afford to eat.
A dark horse is a previously less known person or thing that emerges to prominence in a situation, especially in a competition involving multiple rivals, or a contestant that on paper should be unlikely to succeed but yet still might.