Software

motherboard carefully. It may have the parallel port header pins on it. If it doesn't you should be able to find a cheap card to install.

Here are some examples (header port)
http://www.davidakroyd.com/_borders/Image9.jpg

Here are some examples (connection ribbon);
http://www.pccables.com/07123.htm

Here are some examples (expansion card);
http://www.newegg.com/Product/ProductList.aspx?Submit=ENE&N=2000010073+1187112435&name=PCI+to+Parallel+Port+Card

Maybe a USB to Parrallel cable might work as well.
http://www.newegg.com/Product/ProductList.aspx?Submit=ENE&DEPA=0&Description=usb+to+parrellel&x=0&y=0

Best bet would internal PCI card though.

Doubt that you can do that because that is what they are designed to prevent!!

As others have suggested, you will need to add a parallel port to your system.

I would start by contacting the software vendor.

They must have run into this issue by now.

Beyond the dongle issue, will the software run properly on the new computer?

You may need to update to a newer version of the software in order to get a USB or no dongle.

Chas