Let's be sure before continuing, as the advice does differ. The TiVo doesn't have WiFi and has its own hardwired connection, the V6 relies on a connection to your Home-hub, Ethernet is best but it has WiFi.
Potentially you have a faulty box. On the front-left, there should be 3 green lights. From L-R, "power" on permanently, "online" should be permanent and then remote input.
I'm guessing the online light is flashing, indicating it's lost the internet connection. Given the connection is hardwired, and assuming you've rebooted the box at least once, that's indicative of a fault which will need Virgin to resolve.
Your other option, since you've mentioned you have VM broadband and depending on your contract period, is to consider changing your package to enable the box to be swapped for a newer V6. The V6 is a lot quicker and newer, but does have he caveat that it needs a connection to your VM broadband to work.
Either way, a call to Virgin is in order....
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Well. Spoke to CS (got through after about half an hour wait) and they said they would upgrade to V6 Box. Engineer came out and didn't upgrade, but did some other things (I wasn't at home when he called) and it worked.........temporarily. Back to C130 errors.
Another call to the CS team to see what gem they have this time to claim a clear up of an issue?