Just noticed that the February pic on my Farm Bureau Insurance calendar is a 1957-59 Fordson Dexta "manufactured in Dagenham, England...in response to customer requests for a tractor smaller than the Fordson Major. In time, the reliable Dexta became very popular with smaller scale farmers. A 32 hp 3 cylinder Ford-Perkins diesel powered the Dexta. A 3 speed transmission with a 2 speed auxiliary also came standard."
I bleve the model in the film was Fordson based. I was not familiar with the brand, but my father remembers passing an old and long-closed dealership in Richton, MS in the 1970's.