After being hit with the halibut following the discussion about having children, inspector Fowler tells Patricia that "it is a good thing we are not having a lamb leg for supper." This is a reference to Roald Dahl's short story "Lamb to the Slaughter", in which a young pregnant woman kills his husband -a local detective- by hitting him with a frozen mutton leg and serving it to the police officers, all friends of his husband, who to come investigate.
Inspector Fowler allows Constable Goody to continue his duty pending an investigation of Goody's unprovoked assault of a handcuffed prisoner. In real life, Constable Goody could had been suspended from duty or be stripped of his badge and dismissed from the police force and possibly face time in prison for his actions.