Born in Ampthill but raised in Luton, Billington was signed by Luton Town from local side Waterlows, for whom he had scored 80 goals during 1937-1938. He started the 1938-1939 in Luton"s reserves, but after 14 goals in 15 games he was given his chance in the first team He finished that season with 28 league goals from 27 Division Two matches, which made him the division"s top scorer for that season.
Sadly, the war interrupted his career, and although he scored regularly for Luton after the war, he was transferred to Chelsea for £8,000 in 1948.
After three years with Chelsea, he spent a season with Worcester City before retiring. He remained in Luton until his death in 1988.