OKI Wanna Know: What was Battery F 136th Field Artillery, and why do they have a monument?

Jeff wrote in saying he noticed a large monument, tucked away in a corner of Eden Park. It's dedicated to Battery F of the 136th Field Artillery. Jeff says he's curious about the unit's history, but couldn't find anything beyond the names on the plaque.

Battery F of the 136th Field Artillery originally started as a cavalry unit of the Ohio National Guard. Many of its members served along the border with Mexico before the United States entered the First World War.