Huh? What? You just said that
1. the usb device connects to the computer
2. the computer connects to the phone line
3. the phone line connects to your home network
Presumably you have the PC connected to the usb adsl modem?
The modem connects to your dedicated adsl line.
The computer also connects to your home network.
So which do you mean?
A more common setup involving a home network is to have a nat router plugged into the ethernet switch, and the modem plugs into the nat router. In fact, these days it is getting hard to get a xdsl modem without some sort of router.
There are any number of usb-dsl howtos via google.
http://tldp.org/HOWTO/DSL-HOWTO/
... is just a start.
http://ubuntuforums.org/archive/index.php/t-26017.html
... is for ubuntu.
Perhaps you should tell us the brand of your modem? At least?
Output of
dmesg | grep usb
dmesg | grep USB
lsusb
lspci
lsmod | grep usb