What's the Name of That Book??? discussion

This topic is about
The Tattooed Potato and Other Clues
SOLVED: Children's/YA
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SOLVED. Old Children's novel that includes the "oranges and lemons" poem and a character wears disguises and eats pistachios. [s]
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Hannah, here's the Google Books preview of The Tattooed Potato and Other Clues by Ellen Raskin - Cycad's suggestion:
https://books.google.com/books?id=eyZ... There are different cover images.
Should we mark your request as Solved?
https://books.google.com/books?id=eyZ... There are different cover images.
Should we mark your request as Solved?

Things I remember about the story:
1. One of the characters wears a lot of disguises. The character tells the narrator that there's always at least one small way to see through people's disguises i.e. everyone has a tell
2. The poem "Oranges and Lemons" appears near the end of the book. The poem goes, "Oranges and Lemons, Say the bells of St. Clement's. You owe me five farthings, Say the bells of St. Martin's. When will you pay me? Say the bells at Old Bailey. etc." I vaguely remember that the story had something to do with church bells.
3. The character who wears disguises eats a lot of pistachios
4. One of the characters may have been a private investigator, but I don't think this was a main plot point?