In the properties for your Web App you can see / set the Assembly name under the General topic, but it should default to the same as your project name.
You need to set the mapping file as an embedded resource in your project. In the Properties for the mapping file, open the Build Action list and pick embedded resource. You then have to rebuild (not build) your solution again to force re-generation of the dll.
After that, NHibernate should find the mapping file and your class.
CHeck out the NHibernate quick start
http://www.hibernate.org/362.html