The Indian Houses replace the regular houses. They're cheaper than regular ones (80 wood instead of 100 wood), while providing the same population. They are the cheapest Houses in the game that actually provide population.
At some point in the production process, the Houses were supposed to have a healing effect which did not require a Home City Card. For some reason, the healing was never implemented. The healing houses can be found in the Scenario Editor.
There is no specific name for the Indian Houses they are simply called "Houses" in-game.