Is there a wifi chip on this board?
Regardless of which chip is which, it is unlikely that there is an ethernet connection in there anywhere.  The processor talks to the wifi module directly rather than over ethernet.  Sony wouldn't include the ethernet chips and transformers if there's no external ethernet connection

If you need a wired ethernet connection, you will have to get yourself a wifi router or access point.  Setup the camera to use the router, then connect your ethernet cable to the router.