It sounds like you are measuring the correct pins on your serial port for your computer (DTE). I found a similar discussion thread from May 4, 2000, that had information for what you are doing. I found it by searching in the Developer Exchange by using "CTS" as my search string (All Categories). I used the "serial line ctrl.vi", and with my voltmeter, I observed the behavior you were expecting on my computer (+12V when I set the line, -12V when I clear the line). I'm attaching the VI just in case you don't have it.
Best Regards,
Wilbur Shen
National Instruments