Hello skills,
To rename the iPod, simply double click its current name in the left hand pane of iTunes, then type the new name.
As to the mail account, have you tried deleting her mail account altogether before making configurations for your email account? Here is more information regarding deleting email accounts and other various settings.
http://support.apple.com/kb/HT1330
Another solution, is to restore the iPod Touch via iTunes. This will erase all the content and settings from the iPod and set it back to its original default settings. This will be like starting all over. You will be able to rename the iPod, set it up to sync however you wish, and add your own new mail account.
http://support.apple.com/kb/HT1414
B-rock