Of course, I had solved this problem once with Mandrake installed, but I was just lazy about getting the modem in this laptop working.
Fortunately for me, the internal Winmodem is a Lucent Technologies chipset that just happens to have a Linux driver, available at http://www.physcip.uni-stuttgart.de/heby/ltmodem/ The package was simple to install, and it works quite well, although I should try to figure out why the driver told me that it is a v.92 modem, or if this is normal with a controllerless modem.

