Unless they are parents, or multiple sibilings, not cousins, aunts, uncles or further generations, there is very little possibility of any match. And that is dependent on people from 80 years ago being placed in a DNA database.
Kinship Analysis
http://massfatality.dna.gov/Chapter12/KinshipAnalysis/
Just as a curiosity, let’s say someone wanted to try and unravel this mystery. Perhaps one can review property records for that location or material that was in and around that trunk such as postmarked letters to the inhabitants and get a name of the people who lived there. Couldn’t they then track down either the people or their relatives to get DNA samples? As far as the people from that era being dead, if one can find heirs who still have their personal effects, can they get DNA samples from locks of hair, brushes, combs?