I didn't see the episode yet, but from the line you mention it sounds like the song
River. Joni Mitchell has sung it. So have the Indigo Girls. Robert Downey Jr sung it on Ally McBeal. Sarah Mclachlan sung it recently too.
Here are the lyrics:
Its coming on christmas
Theyre cutting down trees
Theyre putting up reindeer
And singing songs of joy and peace
Oh I wish I had a river
I could skate away on
But it dont snow here
It stays pretty green
Im going to make a lot of money
Then Im going to quit this crazy scene
I wish I had a river
I could skate away on
I wish I had a river so long
I would teach my feet to fly
Oh I wish I had a river
I could skate away on
I made my baby cry
He tried hard to help me
You know, he put me at ease
And he loved me so naughty
Made me weak in the knees
Oh I wish I had a river
I could skate away on
Im so hard to handle
Im selfish and Im sad
Now Ive gone and lost the best baby
That I ever had
Oh I wish I had a river
I could skate away on
I wish I had a river so long
I would teach my feet to fly
Oh I wish I had a river
I made my baby say goodbye
Its coming on christmas
Theyre cutting down trees
Theyre putting up reindeer
And singing songs of joy and peace
I wish I had a river
I could skate away on
You can listen to it here:
to see if it is the correct song