Thanks, that got me started.
I can network on hard line, but am now wrestling with wireless. I've had to get wireless going a couple times on a Dell machine, but never a Toshiba.
Toshiba seems to be [annoyingly] tight-lipped when it comes to the chip model and manufacturer, near as I can tell, so information was hard to come by.
Nonetheless, I found some some things
to indicate that it could be Realtek, or Intel, or Aetheros, so I went ahead and got firmware-iwlwifi, firmware-aetheros, firmware-realtek, firmware-ipw2x00 and for good measure, firmware-linux-free (+nonfree)
some restarts and fiddling later. . . still no dice, and iwconfig says that I have no wireless extensions