Godber is from Birmingham and has an O Level in geography (which Fletch claims was needed to find his way around Birmingham). He later takes the same examination for history (Fletch attempts to help him by stealing the papers in advance: unfortunately, he gets Warren to actually carry out the task, who, being unable to read, steals the wrong paper). Upon arriving in prison he has a girlfriend called Denise. In an effort to get her a gift, Godber broke into a neighbour's flat. He was caught, and apparently received a good kicking. It was for this that he was sentenced to two years' imprisonment. Denise later broke up with Godber through a 'Dear John' letter.
In the first episode, Lennie arrives at Slade Prison, along with Fletch. However, unlike Fletch, who has spent several five-year spells in prison, this is Godber's first stretch of 'porridge'. Fletcher felt strongly about someone of Godber's age being in prison. However, when Godber announces that upon his release he plans to 'go straight', Fletch is perplexed, announcing:
"Twenty-three and you want to go straight? What kind of talk is that? You've got your whole life in front of you!"Fletch and Godber later become cell-mates, and Fletch is quick to take the naïve Godber under his wing, who learns much from him, and by the end of the series has inherited much of his cunning.
Godber also often came into conflict with the ever suspicious Mr Mackay, who appeared to find it very hard to believe that Lennie was not up to something. Even when he was, MacKay found it very hard to pin anything on him, thanks to Godber's penchant for dramatics, and occasionally to the cover-up efforts of Fletch and the sympathetic Mr Barrowclough.
Godber works in the prison kitchen where he has ample access to valuable commodities such as butter and Fletch's beloved pineapple chunks. Godber also took up a short-lived career as a boxer in the prison. In the show Godber is an Aston Villa supporter.
Doe-eyed, optimistic Godber was the perfect sidekick for grouchy, world-weary Fletcher, and the banter between the two became one of the main attractions of the series. This was arguably best illustrated in the ambitious episode "A Night In", set entirely in relative darkness within the confines of their cell, with only the pair's conversation for entertainment.
This concept has been imitated by many other sitcoms, such as Friends ("The One Where No One's Ready") and Bottom ("Hole"). However, few, if any of these have managed to recreate the minimalistic feel of the original, falling back on other comedy devices (the former had several characters, each with their own storyline, and the latter was set atop a Ferris Wheel, and much of the comedy derived from this setting).
In the follow-up series Going Straight, Godber is a long-distance lorry driver, engaged to Fletch's daughter Ingrid (whom he began writing to shortly after Denise broke up with him). They were married in the final episode.
Due to Beckinsale's premature death, Godber does not appear in the 2003 mockumentary Life Beyond the Box: Norman Stanley Fletcher, although Ingrid receives a phone call from him, saying he's stuck on a motorway. They have one son, named Norman after his grandfather.