From multiple viewings, and the lighter my mother handed down to me, I believe Rachel's lighter could be an S.T. Dupont lighter. I base this off the fact that when she strikes it, she strikes the side, NOT the top as you'd see in a Zippo or Ronson lighter. The S.T. Dupont lighters have a cylinder striker built into the side of the case as well as a flip top lid. The lighter I have has an adjustable wheel/lever that determines the height of the flame.
A Zippo lighter wouldn't produce a flame that high that is that tapered at the bottom of the flame. The S.T. Dupont lighters used pressurized butane where Zippos and Ronson lighters use basic lighter fluid. The fuel is under pressure, and if the wheel is set to maximum flow it will produce a flame that high that tapers as it reaches the nozzle. I'm by no means an expert, but from the footage in that scene we see her do two things, one is flip open a lid on the lighter, and the other is light it by swiping/striking the side of the casing, aside from the lid, Zippos and Ronsons use a top down striker wheel or lever, but not a side mounted one.
Here's a pic showing the difference between the mechanisms
Here's the website for S.T. Dupont, have a look and you'll see that the design is very similar. As for which model might have been used, there's not enough visual images to make a positive determination.
http://www.st-dupont.com/en/collection/lighters.html