From an online search for the rest of the abbreviation, he was probably a soldier in Headquarters Company (HQ CO), 134th US Field Artillery (134 USFA), something like American Expedition Europe (AEE) although the World War I force is usually referred to as American Expeditionary Forces.
That makes a lot of sense, actually, since in WWI the coins in circulation were still the same standard as the LMU-standard coins, first issued under Napoleon III in the 1850s. It's perfectly possible that coins from 1856 could still be circulating, especially one as worn as yours... and it was picked up by a member of the US Expeditionary Forces and made into a war souvenir.
Thanks Coinman48. I was able to find more info on John Mack by searching the 134th US Field Artillery records. That coin would mean a lot to his family. I am going to try and find them.
Did they participate to WW1?
In 1919 the Ohio National Guard was the 1st Field Artillery. This unit was redesignated in 1920 as the 134th Field Artillery and was assigned to the 37th Division.
If you belong to a club, it would be worthwhile to write a short note about all this and submit it to the club's newsletter (if any, or else to some other numismatic publication).
That's the second interesting military item on Numista in the past several days/weeks. Here is a link to the other, in case you missed it.
ONE HUNDRED THIRTY FOURTH U. S. FIELD ARTILLERY THE OTTERBEIN PRESS DAYTON, OHIO Copyright, 1919 By L. E. KIRTLEY Akron, Ohio
JOHN J. MACK, 366 Fulton St., Buffalo, N. Y. Enlisted June 29, 1916, in Battery A, 1st O. F. A. Transferred to Hqs. Co. per R. S. O. 28, September 14, 1917.