Brian was an inside forward who started his league career at Everton where he only made one appearance before joining Scunthorpe United in June 1960.
He partnered ace marksman Barrie Thomas in the Iron's attack and helped them nearly reach the top flight when finishing 4th in the Second Division in 1961–62.
This is Scunthorpe's highest ever position and resulted in him being spotted by the Welsh Under-23 selectors, becoming the first United player ever to receive such an honour.
He scored ten goals in his first fourteen League games for the club, including a hat trick against Ipswich Town in a 5–1 away win.
His goalscoring exploits did not go unnoticed, as he certainly impressed the Welsh selectors after joining the famous Lilywhites, gaining three full international caps.
Two of these were in 1964: against Northern Ireland in April 1964 at Swansea, scoring one goal on his international debut, and against Denmark in Copenhagen in the October.
In the 1972–73 pre-season Watney Cup tournament Brian was a member of the team that beat Sheffield United in the final 7–6 on penalties, after the game finished scoreless in front of 19,768 spectators.
From 1973 to 1974 he was ever-present in the County side making 46 league appearances and scoring 7 goals, including a hat trick against Workington in a 4–0 home win.
Godfrey's most successful season was 1980–81, guiding Exeter into the sixth round of the FA Cup for only the second time in their history.
The following year he built a side that came within three minutes of the Southern League title and promotion to the GM Vauxhall Conference, eventually finishing runners-up to Farnborough Town after the Hampshire side scored a late goal at Atherstone Town to give them the Championship on the last day of the season.
He remained involved in football with Shortwood United before moving onto Cinderford Town, and then taking up scouting for Newport.
[citation needed] Godfrey retired at the end of the 2002–03 season to start a new life in Cyprus, and saw his long service to football rewarded with a testimonial between Gloucester City and Aston Villa.