For the Fiona Apple look, I have a suggestion that was given to me from my Key Grip. We had an add where there was a similar vignette (spotlight look) however when shooting women, I find it much more becoming to utilize soft light rather than harsh. I took a much larger fixture (budget allowing my fixture was a T-12), softened it with a layer of diff (216 I believe), then my Key Grip took a large piece of coroplast and made me a "pinhole". Now the "pin hole" was around 3-4 feet in circumference however I could place distance between the light and the "pinhole" to find the perfect spill of light to get the effect while still maintaining a soft source. I don't have a reference on me, however If I find it I will be sure to post it.
P.S. - I am aware that her video, the light moves with the camera and the talent. My shot was stationary.