(As asked in title:) How do I tell what version of JBoss I am running?
I am also curious what version of tomcat I am running. Does a specific version of JBoss correspond
JBoss has an MBean called Server. That reports the build and version of JBoss itself. Once you know the version, you can see what components are involved. It is not that well cataloged, but you can see it in the release notes.