An other option is to use the Image Processor Pro script. You would create several actions to do the different crops you want make to the original size document not a crop of crop of a crop down to the final crop. Have no saves at all in these actions. Then just use meny File>Automate>Image Processor Pro. Set up its dialog to save the file names you want to where you want them saved create. You could also record that into an action. The images processor pro script is a Photoshop Plug-in. It will record the setting you used in its dialog into the action step. You can also save the dialog setup for future use in the IPP dialog before you run the process you set up.
You can save as many files as you need with IPP and run your simple cropping actions for each crop size. IPP simply opens you file passes a copy to each of your actions and after the action runs save the modified copy doctment with the file name you set up. You can set up as many tabs as you need you can even have you crops re-sized using IPP optional re-size. Though the script is easy to use its 10K+ lines of Photoshop scripting....
