He played as a winger and his most notable achievement was scoring the winning goal in the 1954 FA Cup Final.
He clocked up 5 goals in 37 appearances for the Shropshire club, including the winner against Wrexham in the first Football League match at the Gay Meadow, in 1950.
In the FA Cup Final which followed, they faced Preston North End and fought back from 2–1 down to equalise, before Griffin scored the winning goal in the 87th minute when he hit a low right footed shot past the goalkeeper from the right of the six yard box.
In an FA Cup match in February 1958, Griffin broke his leg in two places, which effectively ended his career.
This biographical article related to association football in England, about a midfielder born in the 1920s, is a stub.