I'd like to remove stucco on my old stone house. Is it okay?

There is no 100% right answer to this one. From a historical stand point, maintaining the building as originally constructed would be considered correct. While many of us today admire the beauty of the exposed fieldstone "rubble", when these homes were built the stucco cover was used to dress up the exterior. It also aided in sealing the irregular mortar joints from water infiltration.

However, if the stucco has lost its bond, become badly cracked, has constantly peeling paint, or you just really want that exposed stone look, removal may be warranted. After the stucco has been stripped, proper pointing will seal the wall from water infiltration.