She later appears at the end of the episode, where she angrily drags Plankton away from the formula and out of the Krusty Krab due to him stealing her belongings as part of a scheme.
"A Plankton Family Tree"
Lily, referred to as "Ella," appears on her family tree.
"Grandmum's the Word"
She comes to the Krusty Krab as it is her 90th birthday and Plankton promised that he would own the Krusty Krab by then. Since he does not, Plankton fools his grandma by getting the Krusty Krew to cover for him. Throughout the episode, Lily checks out the Krusty Krab. When Lily asks for a photo with her with the formula, she takes off with a jetpack, fooling everyone.
When she gets back to Shady Shoals, she gets a dream with her ruling the Krusty Krab. While she is sleeping, the Krusty Krew takes the formula back from her.
A picture of her appears in Plankton's kitchen.
"The Ghost of Plankton"
She appears at her grandson's funeral and is shocked when Plankton becomes alive. Lily and the other attendees believe that Plankton faked his death as a cruel joke and start attacking him in anger.
In "Gramma's Secret Recipe," there is an error where Plankton stole her hair as part of a scheme, but she is still shown with hair after Plankton stole it. This error was later fixed in American re-runs and on the season 7 DVD release.
In "Grandmum's the Word," she develops a crush on Squidward and she is even shown married to him when she dreams of world domination after stealing the secret formula.
In A Plankton Family Tree, she is called "Ella" instead of "Lily."
She was completely unaware that Karen was her granddaughter-in-law.