Firstly. You've not given anywhere near enough details to figure out exactly what drivers you require, for example, that Ethernet controller, is it broadcom, intel, 3com, realtek (I could go on).
If it's a name brand computer then knowing the model number of it will enable the correct drivers to be found on the manufacturers website.
Secondly. if you have a PC with access to email so you can put the drivers on a USB pen drive then why can't you download the drivers on that computer from the manufacturers website?