...it actually looks to me like a salt or pepper shaker from the cafeteria!
The kinda brass nature is actually just wear. I have worked with salt and pepper shakers in restaurants with the silver tops, and after being handled and opened so much, the silver tops brass a bit on the raised parts, as the one in the screenshots have. Which seems to suggest that they did just grab the salt shaker from the cafeteria and dumped some vitamins in it... but I can't find any salt shakers as close as medicine bottles. You may want to do a quick search of a restaurant supply store and see if you see something.
Either way, you can get the brass effect by rubbing off the aluminum to make it brass from wear!
I would say to try a bit smaller, like a 40ml. Look at this one, it looks right. Has the raised ridges and such on the lid too:
http://www.whitemagic.com.au/images/products/bottlejars/FD0002-tubebottlescrewcap2.jpg
It is from some little perfume website here:
Decorative and Perfume Bottles, Tiny Vials, Bottles with Cork Seals or Screw Lids, Wooden Scoops, Perfume, Jars and Misc Supplies for Aromatherapy, mixing potions, oils, storing incense and herbs - The Realm of White Magic Online Ordering - Australia I am sure Alibaba has it too, but in bulk.