At last count, none of the official Eclipse spins - including the
JEE ones - did not include Tomcat, Jetty or any other webapp container.
There are a number of reasons why it didn't and shouldn't and not the least of them is that Tomcat and Jetty are not full-stack JEE servers. Another is that Eclipse is supposed to be product-neutral. If not Tomcat, why not bundle WebLogic, WebSphere, JBoss/WildFly, JoNaS, or one of the other servers, instead?
You should be able to get a clue on what's happening by pointing your browser to a port 8080 page and supplying a dummy URL. Most webapp servers identify who they are on their default implementations of the 404 page. Knowing that, it should be relatively easy to scan your system's running process status/task manager and see what its parent process is.