I was wondering if anyone could help, please.
My 89 year old Grandad has told me some lyrics from a song his mother and his brother used to sing. He and his family are from Edinburgh. He doesn't sing the tune but says the lyrics. So I'm unsure if it is a poem or a song. I would really appreciate any help given. I would really like to know who it is by. Many thanks in advance.

I love to hear the melody my mother used to sing,
the memories of my childhood days, in my ears they often ring,
there's an echo from each melody that has gone beyond recall,
the songs my mother sung to me, the sweetest song of all was,
i heard the ............ singing, she used to sing to me,
by on banks, by on bonnie brays.
when i was just a child upon her knee.
within a mile of old edinburgh tune,
in the wee house where we used to play ,
There is nay place in all the world, like my own wee house.

I don't know if these words are all correct, but hoping they help.
Thanks again, Jenny.