The Hours is a very good cross-cutting film because throughout the film it jumps back and forth between three different stories in three different time periods.
According to wikipedia,
Cross-cutting is an editing technique most often used in films to establish action occurring at the same time in two different locations. In a cross-cut, the camera will cut away from one action to another action, which can suggest the simultaneity of these two actions but this is not always the case.
But, wikipedia doesn't give any details about the first usage of the cross-cutting technique in films.
I wonder, What was the first movie with a cross-cutting technique like The Hours?