Our ex-CFO had a relative who died approximately in 2000, never had SSN (edit: or maybe he had it but never used it as an adult) nor bank account, did all transactions with suitcases of cash. But collecting his estate was a multi-week trip around the country to visit all the places where he stored it (mostly regular safes/storage as well as some hidden caches on his properties).
Edit: I know that e.g. European illegal immigrants to the USA, especially those who don't speak English well, tend to store/deposit their savings also in cash with the neighborhood groceries/restaurants/bars/bodegas/convenience stores. Sort of like Leon: The Professional http://www.imdb.com/title/tt0110413/ . But storing at home?