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