The title of this article is conjectural. Though the topic is found within The Simpsons universe, a proper name is not available.
The Kindergarten Teacher is from Springfield Elementary School. When Sideshow Bob holds back Bart, he sends him back to kindergarten after he becomes the Mayor of Springfield in a rigged election. Principal Seymour Skinner sent Bart to kindergarten and this teacher taught him.
Behind the Laughter
She is different from the Kindergarten Teacher from the episode Lisa's Sax that took place five years earlier.