So you're looking for Toolbar setTitle()?
Perhaps you're asking how to access the nested toolbar in order to set its title.
var newTitle = ''; // parse your JSON response here
var mainView = Ext.Viewport.down('main'); // 'main' is the xtype of your view
var toolbar = main.down('#navBar'); // '#navBar' is the component query to grab the component with an itemId of "navBar"
toolbar.setTitle(newTitle);
You can clean up the code above as you like, but I was intentionally verbose to explain the steps to accomplish this.