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The window that appears will have any modem which is correctly installed listed in it. If there is nothing there then nothing is installed.
Assuming you find nothing installed go back to Control Panel. Double clikc Add New Hardware, follow the instructions and see if it finds anything.
If that doesn't work then see if the PC came with any driver disks or CDs which are for the modem.
Still no joy ? All I can think of after that is to open the case up, look inside, find the modem make and maker and get online using another PC to get the drivers for it.
I'm somewhat rusty on fiddling with PCs but none of the above can actually do any damage at all, maybe someone else will know other things to try.
If your PC is up to it, and you don't already have it, I would then upgrade the OS to Windows XP. This will not need a drivers disk if/when it finds the new hardware. In fact, if you re-format the hard drive and install Windows XP on a clean machine, you shouldn't get asked for any driver disks at all unless you have some really obscure old hardware!!
If you still can't make a connection to the internet (I assume you know how to set one up) due to modem detection failure, then there isn't a lot more you can do. You could try a new modem as they are very cheap nowadays. If it's an internal modem, have you tried it in a different slot?
Let us know how you get on.
If it was me I'd try use any drivers there is, you know when you get the list of drivers ? From the left hand column select the standard generic modem one, then from the column on the right select any standard 56k modem.
It may well work fine with generic drivers, or open up the case and find what it is. you cna then use whatever you are using now to connect to the internet to find the right drivers and put them on a floppy, and onto the other machine.