Trying to collect data from literature for a chemistry lab and I cannot find the specific heat of rose quartz anywhere..
Winding is something you do with mechanical movements. Quartz movements run on a small battery. He may be misled by the knob on the watch which is used to set the correct time. You can tell if you see the watch operate. A quartz watch will advance the second hand in one second steps. A mechanical watch will tick and advance the second hand in 3 to 6 steps per second.
Either he doesn't know what he's talking about, or he's trying to scam you. Quartz watches are a relatively new thing, having been first invented only about 30 or 40 years ago, and they do not need to be wound up because they all run on batteries. They always say Quartz somewhere on the dial. Elgin is a very old name in watches and a very few of the really old windup ones are worth money as antique collectibles. If possible, and if you really are interested in it, take it to almost any jewelry store (NOT a department store counter) and they can probably tell you for free if it is worth anywhere near what your friend is asking for it.. Or, you might even take it to some local antique dealers for an appraisal. They usually know quite a lot about such things.
The quartz watch was developed circa 1920s, hardly an antique.
