Hi Carmen,
The Hospital building was across the street from Kilmer House and the Cotton Mill -- and later, Johnson Hall, but it is not the same building. The Hospital building was on the site of the Neverslip Horseshoe Company buildings, and our first building and the storehouses were next to that -- if you were facing the parking deck today, they would be to the left of that site, toward the other side of the parking deck, closer to the elevated walkway. In fact, the elevated walkway was part of the Pennsylvania Railroad elevation mentioned in the post.
Hope that sheds some light on it!
Margaret