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In The Sims 3, Prudence is already deceased, having died of old age. Her tombstone can be found in the Goth family graveyard along with that of her husband, her son-in-law's parents, and an unknown relative. She wears a violet sweater with a red skirt, and has grey hair which is tied into a bun. Between The Sims 3 and The Sims 2, her grave disappeared from the Goth graveyard. It is possible that a fire burned down the house and destroyed her and Lolita's grave, considering that Gunther and Cornelia Goth died in two separate fires.
An electronic piano from The Sims 3: Late Night may contain a reference to Prudence. The description states that the piano was made by "a Prudence Pennypincher". While this could be her, it may just be a coincidence.
Life leading up to The Sims
Prudence is now long dead, and is likely buried in either the Goth Sr. graveyard or the graveyard of the younger Goth Family.
Life leading up to The Sims 2
Oddly, Prudence's tombstone can not be found in the Goth family graveyard, or anywhere else for that matter. Therefore, it is presumed that her tombstone was destroyed by someone, or that the creators of the game made a "grave mistake" like they did with Frida Goth. She has the same hairstyle as she did in The Sims 3, and wears a blue cardigan with cream colored pants. Unlike most premade deceased Sims in Pleasantview, she has personality points and interests, but no memories.