Miss McBride celebrates her 71st birthday, and yet she had earlier told the girls that she had had a man who was killed during the First World War. She would have only been between 6 and 10 years old for the duration of that war.
When Bea is pouring her heart out to Karen, she refers to her husband as "John". He had earlier been referred to as "Harry" during episode 2.
Governor Erica Davidson's niece (her brother's daughter) Barbara is brought in on drug charges. However, Barbara's surname is also "Davidson" - which is Erica Davidson's married name. Erica's maiden name is Marne, which would still be her brother James' surname - and by extension also Barbara's.
When Dr. Greg Miller is talking to Jean Vernon about Lynne's suicide attempt, he asks if she employed "Steve Miller" as her lawyer. The lawyer's name in the show is actually "Steve Wilson". Dr. Greg's character's surname is 'Miller'.