on both pc's confirm that file and print sharing is checked in the firewall settings to allow access.
on the blue pc, where the printer is connected to, you have right clicked on the printer and allowed it to be shared.
on the pc in the bedroom, you've used 'add printer' icon and then selected network printer. then select the second radio button, but leave the name blank and click next. you should be given a list of pc's on the network and their printers attached.