Winter - Tori Amos

"Winter" is a song by American singer-songwriter and musician Tori Amos, first released in 1992. The song was written about Amos' relationship with her father. 

Snow can wait
I forgot my mittens
Wipe my nose
Get my new boots on
I get a little warm in my heart
When I think of winter
I put my hand in my father's glove
I run off
Where the drifts get deeper

Home Again - Carole King

Sometimes I wonder 
If I'm ever gonna make it home again 
It's so far and out of sight 
I really need someone to talk to 
And nobody else knows how to comfort me tonight 
Snow is cold, rain is wet 
Chills my soul right to the marrow 
I won't be happy 
Till i see you alone again 
Till i'm home again and feeling right 
I wanna be home again and feeling right

Doomsday - The Shirelles

Here is a rare gem by The Shirelles called Doomsday. Came out in 1964. Sounds very similar to Baby It's you. Its one you might not have heard before.