I learned the (second) version Joe posted at a Girl Scout camp in the Detroit area during the mid-to-late 60s -- with a couple of (very) slight variations:

Verse 1: He walks by my open door

Verse 2: I won't listen when they tease

Verse 3: I must not tell anyone
             I must bear my grief alone

Verse 4: On yonder hill...

I remember thinking at first that "When I die my love dies too" must mean that when she dies, her sweetheart will also die -- which confused me a bit...

Sylvia N, is your Mum still with us? I'd be fascinated to have a "proper" translation of the original German (one that's not been adjusted to make it rhyme and scan) or -- failing that -- an indication of which English version is closest to the actual German words. Or perhaps you yourself speak German?