My advice is - box up all the papers and bring them home with you until you can sort through them at your leisure. Some may be important. And some may be revealing. My mom had already gone through downsizing her stuff ten years before she died, as she moved in with me ten years ago. I still found some fascinating items in the few papers she left behind!
We knew my father had been married before my mom, and that my father had suspected one of the two sons from that marriage was not his. We didn't expect to find the love letters from the OM to my father's first wife during WW2! (OM was stationed nearby). Nor did we expect to find legal papers showing that in between the first wife and my mom, my dad had illegally married a third woman with a quickie mail-order Mexican divorce from his first wife (which was not legal in California!) and as soon as she figured it out she left him and had it annulled! Such drama!