I'm going to take a shot at this.
I remember when I was young there was an animated short on a VHS. That had a story about a puppy.
This has bugged me forever, because all I remember is near the end the puppy is injured (I think the puppy is laying by a fence in a field) and seems dead, and one of the characters (I think another animal) comments about "his nose not being cold" after checking to see if he's alive.
This is probably a lost cause because I don't provide a lot of info but if anyone has the slightest idea of what I'm talking about please respond. If not oh well.