So here is my very quick research:
From James Casto's book with cover:
https://books.google.com/books?id=hL6Oeo2GoisC&pg=PT96&dq=When+was+the+original+Huntington+High+School+building+built+in+Huntington,+WV?&hl=en&sa=X&ved=0ahUKEwj9uLzuoLnhAhXGtVkKHSb0CBYQ6AEIMDAB#v=onepage&q=When%20was%20the%20original%20Huntington%20High%20School%20building%20built%20in%20Huntington%2C%20WV%3F&f=false
I remember Oley because my grandparents lived on 5th Avenue only about a half block west of Oley.
My grandfather was born in 1899, so he would have been 18 in 1917. The question is if he graduated from high school early or on time. I will do this research when I have more time. Further proof that there was never a Central High School in Huntington:
And then Billy Tucker added this to the conversation (so the verdict is still out if there was indeed an official Central High School or if indeed the entire school that house all 12 grades was just Oley:
From "Lost Huntington - Oley Elemetary; "Oley elementary erected in 1888 and named after Gen. John Hunt Oley. Later the city's first High School (Central) was constructed just East of the elemetary and later the 2 structures were connected. When the NEW Huntington High School was built in 1916, the First High School was designated Oley Junior High School."
I will try to find time to see if I can find what the name of the school was that my grandfather attended or graduated from.