I have the signal from my TV streamed around my home network, so I can record from that on any PC on the network. I don't know if it can be used with a VCR.
I do have a PC with a TV card that you can connect a VCR to, so that could be used to record the video. You need a lot of memory to record from the TV card though. The PC itself is fairly and very low spec, I only use it for downloading and burning stuff off to DVD.
If anyone has a fairly high spec machine, I could lend them the TV card to connect the VCR to? It takes S-Video input, and I have the cables to convert a SCART signal to S-Video.