If you're trying to do remote control of a device that has a serial port over the Internet (i.e., it's not in the same room or same building as you), then the Traversix Connectivity System may be of interest to you. Details are available at:
Also, because the Connectivity Client creates a virtual serial port on your PC that behaves just like a hardware serial port (i.e., COM1, COM2, COM3, etc.), it is completely compatible with any existing serial application. It handles not just RX/TX, but all RS-232 control signals.
Possible uses: Managing a PBX Modem Replacement Monitoring an elevator Checking on an HVAC system Capturing data from a lab experiment Upgrading an industrial controller
They're selling a starter kit with one Connectivity Server, the software, and a 3-month license to use their Gateway on their web site. If you've got a tough remote connectivity problem, it's definitely worth checking out.