Seach API Solr database service
Does {Your drupal site}/admin/config/search/search_api show a "working" (Green tick/check mark) next to your server settings? If so press 'edit' and this should provide you with a connection link to your solr installation being served by tomcat.  The URL should be something like


  http://{IP of server with Solr on}:8080/solr


If in a browser you do to http://{IP of server with Solr on}:8080/solr/admin you should see a solr web query page that will allow you to query the solr server directly.

This should help indicate if solr is indexing the drupal content or not.  On my localhost server a URL to return everything would be 


  127.0.0.1:8080/solr/select/?q=%3A&amp;version=2.2&amp;start=0&amp;rows=10&amp;indent=on


In the event you can't contact the tomcat server (And assuming your firewall is correctly configured, not all systems allow 8080 through by default) I found the article very helpful for installing and configuring Solr on Tomcat 6.