Inside a black hole, one dimension of space and time are transposed; this is one explanation of why you can't get out, because doing so would require going backwards in time, since the radial spatial dimension as seen from outside the black hole has been transposed with time inside the black hole. You wouldn't actually see a singularity that you're falling towards, rather the singularity exists in your future, with all matter that ever falls into the black hole collapsing together. So I would suppose that, in the timeline inside the black hole, the initial universe-creating singularity already contains all matter that ever falls into the black hole in the parent universe.