How to find the hardware chipset information?
I typically discover chipsets by going to the Device Manager, right clicking on the appropriate device and going to Properties.
On the Details tab, sift through the drop down options for anything telling. If it's not obvious there, I take the ID from Hardware Ids and google them.
Speccy can do this, and it also has a Portable Edition available.
Summary
Motherboard
Network
If you have an Intel chipset, this would apply:
Intel Chipset Identification Software