In my family, we sang: Unto me the time draws near
When you and I must part
No one knows the inner grieves
Of my poor aching heart.
I wish my breast was made of glass
And let you there behold
Your name engraved upon my heart,
The letters sealed in gold.
And so on...it was referred to as, "Unto me," or sometimes, "Inner Grieves." Could this be the song you're looking for? Maybe with these extra words, you can find it in DT.