The notification is about print jobs on the current computer. I don't believe there is a way to copy/transfer that notification to other networked computers.
This is a question about the print notification (the yellow call-out/balloon) that appears in the lower right corner of the screen when you print something.
If Person A and Person B are on the same network, and Person A prints something, is it possible to get the print notification to appear on both Person A _and_ Person B's computer? (Each time, I mean.)