Grandma Zza-Zza is part of Grampa Simpson's story of growing up before TV, when he was called Abe-Boy (as in John-Boy, the lead character of The Waltons), with his six brothers and sisters, his parents and his grandparents while his father and grandfather operated a sawmill on the ancestral home of Simpsons Mountain. Although the point of his story is about how life was before TV was invented, Grampa is retelling reruns of old TV shows as if they were his own memories.
Grampa's narrates, "Momma had her hands full with those young'uns, but she could always turn to Grandma Zza-Zza for support" although she is on a modern exercise bike (out of place for Great Depression) and tells her daughter-in-law Olidia, "Dahlink, really! I'd luff to help you out, but all you zilly little children are chust too, too boring!"
Later when Abe-Boy finally finds his father, he is on a bridge exactly like the one in "It's a Wonderful Life,"] he weeps as he looks in his shirt pocket and finds "Zza-Zza's pedals" from her exercise bike which she handed to him to replace as he was leaving Simpsons Mountain (which is copying the "Zuzu's petals" moment again from "It's a Wonderful Life").
Trivia[]
She is a take off on Zsa-Zsa Gabor, a Hungarian socialite and actress who relocated to the United States and considered one of the first people known as "famous for being famous."
The family tree in "The Simpsons Uncensored Family Album" has Grampa Simpson's grandmother as "Happy" Simpson.