What is the song that Caro sings in season 1 show 3?

It's a version of 'The Unquiet Grave', an English folk song that's hundreds of years old. They've changed a few of the lyrics. It was originally about a man mourning his true love who is dead...now it's about a woman mourning her true love. Here's the one that Caro sings.

Cold blows the winter wind, my true love
With grey heavy cold showers of rain
The first true love that ever I had
In Greenwood he was slain

I'll do as much for you my true love
As any young woman may
I'll sit and mourn on his grave
A twelve month and a day

A twelve month and a day
The ghost began to speak
"Why dost thou sit here on my grave
And never let me sleep?"

"What dost thou want from me, true love?"
"What dost thou want from me?"
"I'll have a kiss of the clay cold lips
That's all I request of thee."

"My lily white lips are clay cold
My breath smells earthly strong
And if I kiss all of your lips
Your time will not be long."

"Don't grieve, don't grieve for me, true love.
No morning do I brave.
I must leave you and all the world
And sink down in my grave."


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It's not clear who is speaking to who at some points. But I think the fourth verse is the woman asking the man first. Then the man repeats the same question back to her (since she has disturbed him) and she replies that she wants the kiss.

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I switched the subtitles on the DVD and I wrote the lyrics down afterward, i'm 99% sure I wrote it down right that it is "morning" and not "mourning". But I can't recheck at the moment as I lent the DVD to my brother.