What most people don't realize, is most of the negativity towards stucco was propaganda put forth by various corporations and unions associated with brick and brick layers. It was a well manufactured campaign and effectively cut stucco off at the knees in residential.

Stucco can have problems. Stucco can also be a great great product. The key is whether it was applied correctly or not. If you notice, a large portion of commercial buildings are stucco or drivit. If the house is that old, I would have a knowledgeable person inspect the house for water and moisture issues. If it is in good shape, then you should have a fine house.