Livin on a Prayer by Bon Jovi

The first winter that the animals are on their own is a tough one. Their rations get cut and they have to live through the cold. After a while, the rations don't get any better and they just keep hoping that things are going to get better.
Livin on a Prayer by Bon Jovi is about a similar situation. Two people are trying to get through a tough time with little money and nothing else but each other.

She says we've got to hold on to what we've got
It doesn't make a difference if we make it or not
We got each other and that's a lot
For love we'll give it a shot!

Oh, we're half way there
Oh oh, livin' on a prayer
Take my hand, we'll make it I swear
Oh oh, livin' on a prayer

Though Animal Farm was no love story (accept maybe Napoleon's love of power and of himself), there is still a part where the animals have to trust in themselves and the pigs to provide for a better tomorrow. They always saw that even though times were bad, they were no worse than in the time of Mr. Jones and they would soon get better. They were "Livin on a prayer" of better days with more food and less work.