The Hornets name was resurrected again in 1962. That team was founded in 1960 as the Galt Terriers, playing in the original OHA Senior A hockey league. The Terriers won the Allan Cup championship in 1961, concluding their first season. As the reigning Allan Cup champions, the Terriers represented Canada at the 1962 Ice Hockey World Championships finishing 2nd place, winning the silver medal.
The "Terriers" named itself had been used by teams in Galt dating back to the 1920s and 1930s, before World War II.
Following the 1961–62 season, the Galt Terriers were renamed the Galt Hornets. The Hornets won two more Allan Cup titles in 1969 and 1971. In 1973, the team name changed to the Cambridge Hornets, when the City of Galt was incorporated into Cambridge.