You need to put make your website the tomcat default website. It's configured in web.xml or server.xml and is usually webapps/ROOT. Check out with Caven what's going on since you're trying to do more or less the same thing.
I have seen things you people would not believe, attack ships on fire off the shoulder of Orion, c-beams sparkling in the dark near the Tennhauser Gate. All these moments will be lost in time, like tears in the rain.