Currently, it only grabs the email and delivers it to the database. I added the html for the name, but I needed to edit some other files for it to grab the info. I've done a ton of googling but I havent found any answer.
You'll need to develop your own extension.
First, you'll need somewhere in the database to put the name. You'll either need to alter the newsletter_subscriber table or create your own table. In either case, you need an install script.
Then you'll need to override the Mage_Newsletter_SubsscriberController newAction to store the information you want.
To do a complete job, you'll want to update the Admin interface (Adminhtml/Newsletter/Subscriber/Grid.php) and a few model files.