Well technically, the Cohn house has been within a few blocks of its current location for a little over a century, hence its importance. The city bought it around '03, moved it a bit to save it from road construction, and there it has sat. The city felt it was important enough to save a decade ago when they needed to widen a road, and there were plenty of empty lots in the area. That is not to say they still feel it is worth saving if they choose to build something on the lot. That area has filled in considerably in the last decade, the fact that the house is still just sitting does not speak well for it's future preservation. The other old house which was next to it, the Foley house, was gifted to Incarnate Word, they were supposedly going to use it for offices, but I don't know if that's still the case. The deciding factor will be what the city and Houston First want to do with that parcel of land, there are a lot of options which would be far more economically profitable than any sort of cultural/historical use. Whether they want to add economic value or cultural value to the area is the key.