Due to the many different VISA drivers out there, I abandoned VISA for talking to serial ports a while ago. I might suggest that you try the serial compatibility VIs and see how they do. I know from experience that if HP VISA was once loaded on the machine, then LabVIEW VISA drivers will not see the serial ports, even if you load NI VISA after the HP VISA (thus messing up anything the HP VISA was talking to). Manually editting the registry is required to get rid of all traces of the HP VISA, then load the NI VISA.
Anyway, also check the serial ports on both machines to ensure that they are using the same I/O address and IRQ.
Have fun getting it working.
Rob