Who takes the cutoff from left field in softball?

pitcher

On a single to left field the third baseman will be the cutoff to home. The shortstop will cover third base. The pitcher will backup home. The catcher will make the call if a cut is needed and to what base. The center fielder should start toward left and once the ball has been fielded cleanly, he should go to back up second in case a throw is made there either from the cutoff or the catcher.