Found your post and became curious about the name "Chalybeate", so I did some research and found out the following, some of which has already been posted:
The word "calybeate" derives from the Latin language by way of the Greek language, and means "containing or impregnated with salts of iron, as a mineral spring or medicine". It's pronounced kuh-LIB-ee-it.
It seems that folks around the turn of the last century folks believed that water containing iron was good for what ailed you, hence the popularity of the numerous chalybeate springs across the country.
The Western Kentucky University web site states that there were chalybeate springs and a Massey Springs Hotel on the Green River, although no exact location is given. It also mentions a Glen Lily springs and a hotel at Stallard Springs, but with no other information.
If you go to www.wikipedia.org/wiki/chalybeate_springs_kentucky
and click on "old post card photos of the resort", you will bring up a photo of the C.S. Hotel. (Although it says "photos", only one comes up). Be sure to scroll down and read the info below the photograph. Looks as though it was quite a nice place!
I haven't accessed the Warren County Historical website, but I wonder if additional information is available there.
Thanks for your and Smith's posts. Because of them I've learned a little more of western KY history!