The requirement being to "watch" a given webcam on one or more computers - correct?
Network webcam (IP) or USB webcam?
IP:
If each "viewing" computer has the applicable vendor's software, all you should need to do is configure that software (on each system) to the applicable webcam via that webcam's IP address/MAC.
USB:
If you are using a USB webcam the idea is much the same except you will need a USB splitter of some sort to accept webcam output and direct that output to two different locations/host computers.
More information needed I think....