In the 1950s, my grandmother inherited $31.44 from a relative, Anna Haase. The estate settlement of Miss Haase points to the importance of tracking down such records for relatives who die with enough property to probate and no descendants of their own. The article I wrote on the estate settlement and estate records in general may be worth a look if the only wills/probates you have searched for have been for your own direct line ancestors.
A $31.44 Inheritance explains how Grandma's $31.44 inheritance was determined and how intestate probate cases in these situations usually work.