The top of old brick isn't supported at top and the basement is finished. The opposite side of house you can see floor joists sitting in footer.I guess that would depend a lot on how well the brick is fastened to the the framing. I would be concerned also. Since you have the top of the wall opened, let us know how the brick is fastened there.
If the stone is resting on the floor, much of the weight will be resting there. Which leads me to ask how well your floor is supported.