Hi Bruce,
I confirm you that for actual projects and production scenarios, it is strongly recommended that an external Web Server is used (because Lightstreamer is optimized for pushing real-time data, not for serving static pages).
Actually, Lightstreamer Server contains an internal web server that is able to serve static web resources. But it is only for demo purpose and to get started with Lightstreamer development.
By the way, in your specific case you should check that the LightstreamerClient keeps the right reference to the instance of Lightstreamer server (on your local PC or migrated on the UNIX server?).
For further details on deployment instruction, please refer to the section 2. of
this document.
HTH,
Giuseppe