This is kind of a shot in the dark, but is they both the same OS and same versions of LabVIEW etc? In addition do you have another Laptop you can try it on? Can you print or do anything on this Laptop's parallel port? Are you getting any errors or does it just not seem to respond?
Something else that may help narrow down the behavior is PortMon from
SysInternals This utility can help figure out what is being sent in and out of different ports including the parallel port.