Welcome to the site.
Some things to look for. Most times the concrete curbs for the barring walls were installed with the foundation and the floor was put in later and you can see a crack on each side of the wall. Barring walls are bolted down most of the time. Barring walls have floor joist landing on them or joining on them. If the wall has a wall directly above it, it maybe a barring wall. If the wall has 2 or 3 extra studs nailed together with solid blocking from the top of the wall to the floor sheeting above that would be a barring point for extra load from above.
The wall around the stair case are usually barring walls but if the only hold up the floor smetimes they are put in on top of the floor but should not be removed for obveois reasons.
Have a look and let us know what you find.
I hope that's helpfull.