He started his career with the "Saints" in the youth team, which reached the semi-final of the FA Youth Cup in 1957. He made his reserve-team debut in March 1958 and signed a professional contract shortly after his 19th birthday. He continued to play regularly in the reserves until his first-team debut on 6 December 1958, when he took the place of John Christie who was unavailable with an injured knee for the FA CupSecond Round match at Queens Park Rangers. Godfrey acquitted himself well with a "confident, cool, alert and agile" performance making several fine saves and keeping a clean sheet as Southampton won the match 1–0. Godfrey retained his first-team place for the next five matches in the league, before Christie's return, although he was soon recalled, making 17 league appearances in his debutant season. With Christie leaving The Dellin the summer of 1959, Godfrey became first-choice 'keeper, playing the first 11 games of the 1959–60 season, before an injury allowed Bob Charles to take his place. His career was then interrupted by his National Service which was spent in the Army, who he represented at football. Southampton gained promotion to the Second Division in 1960 with Ron Reynolds now in goal. In the 1960–61 season, Godfrey vied with Reynolds for the first-choice position in goal, making only eight appearances, but regained the No. 1 spot for 1961–62 after Reynolds broke his ankle in the opening match. By the start of the following season, however, Reynolds had fought his way back into the first-team and Godfrey only made six appearances. Reynolds was finally forced to retire after dislocating a shoulder in September 1963, thus allowing Godfrey to briefly become the unchallenged first-choice "custodian". In the summer of 1964, Southampton signed John Hollowbread from Tottenham Hotspur and Godfrey was once again second-choice, until after a run of 18 matches with only two victories, Hollowbread was dropped and Godfrey recalled. Hollowbread regained the No. 1 position for the start of the 1965–66 season until he sustained a knee injury in September 1965, which ended his career. Godfrey was once again recalled but after 14 matches, lost his place to Campbell Forsyth, who had been signed from Kilmarnock. Godfrey's final match for Southampton came on 4 December 1965 and shortly afterwards he was sold to Aldershot. In his seven years with Southampton, Godfrey made a total of 149 first-team appearances.
Aldershot and Rochdale
He joined Aldershot in December 1965 for "a four figure fee" but was unable to make his debut for them because he was suffering with hepatitis. His debut came on 19 March 1966, in a goalless draw with Notts County at Recreation Ground. He soon became the first-choice goalkeeper, being ever-present in the 1966–67 and 1967–68 seasons. He stayed with Aldershot for 4½ years before he was signed by his former Southampton teammate Dick Conner at Rochdale in the summer of 1970. Godfrey spent two seasons with Rochdale, in the second of which he was the club's Player of the Season before returning to Aldershot in July 1972. He made 71 League appearances for the Spotland club. On his return to Aldershot, he was again ever-present in the 1972–73 season, when Aldershot were promoted from the Fourth Division for the first time. He was to remain at the Recreation Ground for another three seasons, until, with Glen Johnson now the first-choice 'keeper, he decided to retire in 1976.
Coaching career
Godfrey then returned to Basingstoke Town in a player-coach role, before spells as manager at Andover, Alton Town and Fleet, followed by a return to Basingstoke. In 1985, aged 45, Basingstoke were suffering an injury crisis, so Godfrey returned for one match, thus becoming their oldest-ever first-team player, having been their youngest player 30 years earlier.
Later career
Godfrey settled in a village south of Basingstoke where he resumed his career as a builder until his retirement.
