A bit less than 30 years ago my friend and I found an IBM AT in the trash, perfect conditions, with even the floppy disks nearby. We connected it with an RS232 cable to a Linux box, and made an IRC workstation using QMODEM, for the girlfriend of my friend. We were connecting via dialups, and the bill every month was high. With Linux NAT, we were already sharing between my and his apartment, using a coaxial cable, and with the IBM AT now we could share the Internet connection to three computers.
Seeing "internet connection" mentioned in connection with QMODEM is weird. Are you sure you got your story right?