I tossed out the "Intel" modem.
The ebay ad said it was "intel hardware based". It's a generic software modem with an Intel chip. No good.
I got a nice US Robotics modem for about $10. from someone else on ebay, then configured the jumpers to COM2/IRQ3 and now I'm up and running.
I'm using Slackware 9.1/KDE/Konqueror with kppp. Maybe I'll try Vector after I rest for a while.
Now I'm free.