|Hi Brian, I am not sure you are correct. I think:-|
It is simply a case of adding / installing *BOTH* printers on *BOTH* pc's.
When printing, you just choose which printer the print is going to, having made sure first it is the one connected via the switch.
If for whatever reason a print is not output it will go to the print queue. You must then take care it ultimately is sent to the specified printer or otherwise deleted from the print queue.
Good Luck - Keep us posted.