Well folks, here we go again. I let my mom know of my interest in old razors and she appears later holding this old gem (no pun intended).
From my checking the ASRCO website, Gem and Ever-Ready merged in 1906 to form "The American Safety Razor Co". Star was added to the company in 1919.
I've seen pictures of Gem's, etc, and they look similar. But I've never seen one with just the ASR logo. Perhaps someone with more historical knowledge could lend some more info.
As for the picture I took with the writing on it, it says on the top:
American Safey Razor Co.
Across the middle:
Inventors & Makers
On the left back:
On the right back:
Rate In All The Principle Countries Of The World
Its a pretty neat piece. However I could not imagine shaving with it!