Another option...
Connect the Epson printer to another PC on your home network that will work with it. Install any needed drivers and make it a shared printer.
Make note of the PC's machine name and the name you assigned to the printer when you shared it.
Now go to your new Dell computer and setup DOS to access the shared printer on the other computer. Let's assume the following names:
PC machine name the Epson is connected to = oldpc
Epson printer share name on oldpc = oldepson
(try to use names that DO NOT contain spaces and are under 8 characters long)
Open a DOS command prompt on your Dell and issue this command:
net use lpt1: \\oldpc\oldepson /persistent:yes
All your old DOS programs should now be able to print to the Epson now.
Here's a link to the guide on MicroSoft's support site:
http://support.microsoft.com/kb/314499