And the prize for guessing correctly goes to...TCS.
It now looks to my non-techie mind as though it's very little different from my old laptop (Compaq Armada something-or-other, a few years old), but less than half the size and about a quarter of the weight. I do need a CDRom drive for it, but the guy selling it says he'll have one of those in a couple of weeks. Of course, my original plan to spend about £200 has ended up being over double that, but that's life.
Tinny, tell me about the Fujitsu P2020; not heard of it.