How do I create a SharePoint 2007 list from a template via web service?

Question

I have a SharePoint 2007 custom list that I have saved as a list template. I am looking for a way to create a new list from the saved template via a web service call from an outside application.

I have already looked into the the basic web services available for SharePoint 2007 http://msdn.microsoft.com/en-us/library/bb862916(office.12).aspx but a call to that just creates a simple, empty custom list.

How do I instantiate a list from a specific template? How do I locate the Feature ID for the template?