Here is a more or less literal translation of the whole song.

When Peter left for war, he stayed there seven years.
He left his beloved in Grenoble, dying of regrets (sorrow).

The first letter Peter received was full of flowers,
The second letter Peter received was full of tears.

He went to see his captain "Give me my leave
To go to see my beloved in Grenoble, she's dying of regrets (sorrow)".

But when he reached (lit. "was") on its* hills, he heard [bells] ring
To those who was carrying her to bury her "Let me kiss her".

The first time Peter kissed her, Peter sighed,
The second time Peter kissed her, Peter passed away.

What do you think, people of Grenoble, of this love?
They lied down side by side, the two of them sleep.

*I suppose Grenoble's unless it'd mean the hills on his own land.