This is the first of two appearances Edgar Buchanan makes as Uncle Billy, the second occurring in season 6 in Uncle Billy's Visit (1963). He appeared one other time in the series, not as Uncle Billy, but as Captain Jack from season 1 in Captain Jack (1957).
When Wally and Beaver are admiring Uncle Billy's car outside, a view of what appears to be part of the Harvey home, parts of which were used to construct the Psycho house, can be seen in the background.
Near the end of the episode, Ward tells Wally that besides Uncle Billy, Ward's father had three other brothers.
Edgar Buchanan plays Ward Cleaver's Uncle Billy, but Edgar Buchanan was in real life only 6 years older than Hugh Beaumont.