Sharing a Printer

I'm posting this problem here, because I followed the advice on the
official windows vista help page, and it didn't fix the problem...

I have a computer that is directly connected to both a Linksys router
and a printer. The router is also connected to a second computer. I am
trying to print from that second computer.

I am running Vista home basic. I have already turned off the
password-protected printer sharing on the first computer (which has the
attached printer), but I still can't print from the second computer.

Any help would be greatly appreciated.