Mrs. Zzyzwicz is the unnamed, depressed mother of Kearney Zzyzwicz.
Kearney got angry at Jimbo Jones and Dolph Starbeam because they kept mentioing that she was depressed. When Kearney stole some tassels from Bart's bike he said, "Thanks fot the tassels. My mom can wear these on her boobs at work", indicating that she is a stripper. According to Kearney he mentions that his parents met when the prison and the insane asylum had their annual mixer.