I'm intrigued now. The setup of Kipling's "Follow me 'ome" (which was the poem that set me off on this train of thought" is something like this:

1. He was my friend
2. We faced danger together
3. He's dead, I'm alive

It seems like a very simple and obvious template, but how many songs have got all those elements? "Ich hatt' ein kamaraden" is closest, but a bit literary. "Bill Brown"/"The poacher's fate"/etc tick all the boxes, and "MacCrimmon" is close, but all the others people have suggested are laments for heroes, laments for large numbers of people or laments by the dead person (before death).

If we extend it to a relatively unknown person dying and a widow left behind there are a few more - the Border Widow's Lament, the Death of Parker. But friends don't seem to grieve for friends in traditional songs, with the sole exception of poachers.