Who runs the quarry? Even if it is owned by the local bigshot, it will probably have offices for the daily admin, located close to the quarry site. Then if there's a king in a faraway city, he'll probably want a cut of the profits, so there might be another kind of official in that.

Also, just to be clear, is the winch/pulley system human-powered, or driven by some other force (eg ox or charcoal)?