Rose reveals to Dorothy that she never graduated from high school due to a long illness. However, in a Season 3 episode, "Nothing to Fear, But Fear Itself," Rose told a story about giving a valedictory speech at graduation.
In a dialogue between Rose and Dorothy about the "Three Rs" in education, Rose asks Dorothy if she means "Reading, Writing, and Rooster Insemination," inferring that this skill is necessary for farmers. It seems the writers here used literary license in the absence of another "R" task on a farm. Roosters are always male, which begs the question of why inseminating male roosters would be a necessary skill to learn on a farm.