Please help. Song needed for mothers funeral.

Trying to locate a song my mother used to sing. The Lyrics included " Remember me" and " girl down in the wood" .
The song probably originated in the 40's/50's and I can not find it on any best seller lists. However I can remember we had it on a "record".It is possibly of british origin. So Again it went something like -" Remember me oh oh oh remember me oh oh, remember for the rest of your life. When I was a young boy ?????? But i'll always remember that girl down in the wood". Any ideas please?

Is it The girl in the Wood?

text Neal Stuart
music Terry Gilkyson

Oh, when I was a young boy and drove my mother wild,
I met a maiden in the woods and she said
"Child, look deep into my green eyes and at my autumn hair,
When you're a man you'll never see a girl quite as fair".

refrain:
"Remember me Remember me Remember me for the rest of your life".

Her eyes were green as grassy pools looking right at me,
Her hair was red and grown with leaves just like an autumn tree
She moved her tiny hands and she made a little turn.
She swayed in the wind just like a graceful fern.

refrain

I swore as she vanished that when I was full grown,
I'd have a girl just like her to be my very own.
And now I am a man I"d marry if I could
But I can't lose the mem'ry of The Girl In The Wood.

refrain

I've wished a hundred times that she'd never looked at me.
With the first wild beauty that only youth can see,
For a man cannot find it when he's looking for a wife,
And he'll end up in bach-lorhood the rest of his life.

refrain