Printing thru Linksys BEFSR41

I have a Linksys BEFSR41 router set up for cable and multiple computers. I want to print to an HP 4300dtns printer with a built-in jet-direct card. The computers can see and share with one another, but the printer is not seen by the computers. The router management software shows the printer as beeing connected. I can print when connected to the LPT1 on one system by sharing but I don’t want to tie up one system that way. All my network wires are straight thru. What am I doing wrong?