Okay. If he's still interested in finding out, or if he has trouble after getting home, there's a tracert command that Caeli gave Lord of Shadows up-thread. The output from that command could help determine where the hang-up is.
It was I who was having the trouble, and I just thought it very peculiar that Elliquiy and WE&T went out at the same time for me (and apparently everyone else), but when WE&T came back up for me, Elliquiy simply kept timing out on my laptop every time I tired. That suggested to me an IP change (which I assumed was going to happen around that time), and a slow DNS propagation that didn't reach the provider I had.
I didn't try a lot (but at least a few times a day), as I was on a satellite system (which meant it was already slow) and it was costing me 50 cents a minute. The problem never resolved on the satellite system, but I got Elliquiy back when I got to the airport, and I have it at home. So I guess I'll just attribute it to a random strangeness.
It didn't affect me enormously because I was getting post and PM notifications, and not many people were really expecting me to respond while on vacation. But I couldn't answer any PMs, and ended up posting like 6 or 7 stored responses from the airport.
In any case all is working now.
But given that it's July 1, are we to expect outages now or soon from moving the site? Any idea when?
Thanks to those who offered help.
Geraint