If it helps your perspective on this, I was raised Methodist, and attented a Baptist church in High school, then in college was confirmed Lutheran. Still, I have never heard of those three songs/hymns.
Huh... I know Baptists sing it, and I'm pretty sure I've seen it in a Lutheran hymnbook. I swear it's not just a Presyterian thing, I think I remember singing it at an Assembly of God church...