I believe it is an ES-125. Guitar afficianados can weigh in here, but, I think its a ES-125.
For years and years I don't believe I saw any guitars that looked exactly like the one I had.
I know it was not a super expensive guitar or my grandparents couldn't have afforded to buy it for me as a kid. At least not in the late '50s or early '60s.
My grandparents were pretty strict on the music: they didn't want me playing any of that damned rock n roll on it. I could play ballads and general old people music, but none of that damn stuff from the devil. Of course, that's all I wanted to play after they told me that