Are you in the UK? I found a website for a company called TimeUK Factory Ltd., they sell desktops, laptops, monitors. Anyway if that's who made your computer you're right, they don't have _any_ support info or downloads. They seem to be pushing a comprehensive support package for 5.99UK Sterling per month. Sound as bad as some of the "Big Box" retailers in the USA.
My guess is these guys are assemblers, building computers from standard components. There used to be lots of them around in the US. They mostly used PCChips motherboards, these guys might as well.
Go to http://www.aplusfreeware.com/categories/util/optdiag.html
and scroll down the page a bit to the link for Everest Home Edition v. 1.51. Download that version (it's the best) to your desktop. It's a ZIP file, I assume you know how to unzip files, if not check out one of these tutorials:
Windows ME/XP/2003: http://www.bleepingcomputer.com/tutorials/extract-zip-files-in-windows-me-xp-2003/
Windows 95/98/2000: http://www.bleepingcomputer.com/tutorials/create-and-extract-zip-files-in-windows-95-98-2000/
BTW, which operating system do you have?
Unzip the file to your desktop, the zip package only contains one file which is the installer for Everest. Install Everest, let it make a shortcut on your desktop. Once installed, double click the shortcut to run it.
When Everest opens you need to click the "+" on Motherboard, then click the motherboard icon. The first subheading shows Motherboard ID and Motherboard Name. Write those down. Close the Motheboard section by clicking the "-" in the left panel.
Next go to the Multimedia line and click the "+" then click on the line PCI/PnP Audio. Write down that line as well. Close the multimedia section and move on to the Devices . Open that section, and click on PCI devices. Under the top section on the right (Device Description) one of the items listed should be the same audio device you already saw. Click on that line and you'll see below some details about the device. Write down the Device ID, Subsystem ID, and Revision numbers. We may need these but hopefully not.
You can post this info in a reply here, if it is a PCChips board I can tell you the model number and you can download the driver from their website. If it's something else we can probably figure out who made it and what it is. Worst case, if we can't identify the motherboard we can certainly identify the sound chip and find a generic driver for it.