In some routers it could happen that the router provides different IP address (range) to the wired devices and different ones to the wireless devices. When this happens they will not be able to communicate with each other.
I have a few more questions:
1. Could you send the screenshot of the IP address of your iPhone. With information about subnet mask etc?
2. Could you also send the screenshot of the about box of the uRemote app?
3. Is there any other computer connected to the same network?