You can take the vcr and connect it to a
video capture device like the Pinnacle Dazzle. That device will have software that will let you use your dvd burner in your PC to make dvds of your video tapes.
I have the Dazzle and am not terribly impressed with it. It's a pain to use the software. Scrolling through the video capture devices sold by Amazon (linked above) there don't seem to be any with more than 3 stars.
I don't have a rock solid answer to this question. Nothing I would recommend.