In this episode, Don Patch holds up a picture of a woman and Beauty yells out that she is her (Beauty's) cousin. This woman is also portrayed as:
1) The mother of a highly ranked hair hunt official (in episode 1).
2) A woman doing laundry (in episodes 1 and 10).
3) Suzuki's (the man who lost his job at the Pomade Ring to Service Man) wife (in episode 25).
This explains why Suzuki had a job at the Bald Empire in the first place.