@azizi

Your reference made me think of a children's game from the British Isles. I know it from Fulk recordings, but it is also referenced in the Opie's seminal "Lore and language of Schoolchildren." It is called "Green Gravel," and is a children's funeral game. It made sense that those existed when mortality rates were high, apparently, and the games lived on and evolved long after their morbid origins were forgotten. The song references the rituals associated with a recently deceased person. Turning mirrors around, contacting loved ones, the washing and dressing of the body and the burial.

It might be too much of a stretch to connect this and the other song together. Maybe not? I suppose it would become more apparent if we knew how the respective games were played and if they were similar.

I too had wondered if perhaps this song was a variation on that game. here's one version (it doesn't have the mirror verse). It's been proposed that "gravel" is a corruption of "grave."

Green gravel, green gravel
Your grass is so green;
You're the fairest young damsel
I ever have seen.

I washed her, I dressed her
I clothed her in silk,
And I wrote down her name
With a glass pen and ink.

O Kathleen, O Kathleen,
Your true love is dead,
I sent you a letter
To turn back your head.

Full Song Lyrics: http://www.lyrster.com/lyrics/green-gravel-lyrics-traditional-songs.html#ixzz3vN5MjVmb