Identification Help Wanted: 1904 Medal

The SCD office received an inquiry from a reader who had picked up a medal at a swap meet that was attached as a keychain. He is looking for some help in identifying the piece. I'll let him pick it up from here:

I am looking to see if anyone has seen any medals like this one. It's made of 14k gold with a mine cut diamond (its overall size if a little bigger than a half-dollar)
It reads: ST.Bartholomew Club NY. / Hospital Corps. 8th, Reg. N.G.N.Y.

The medal was presented for a 800 YD RUN...1904. Was told it could have been given to person trying out for the ...1904 Olympics ........but do not know who???

Below are some photos. Any insight, please use the comment section below.