I have decided to re-write this parody, as no one seems to understand it. There will be an explanation at the bottom so as everyone will get the gist of it.

Disclaimer: The characters are not mine, nor is the song and I am not making any profit so belt up.

To the tune of "Funny Face"

I want to skin your face,
You scary, hairy face,
For you were a yeti
Your nickname was Betty
You had the bad
Idiotic traits
With dates.

You fill the air with gas
And now to find my mask
And now Clarice has killed you
I'll go at my own pace
And I will
Skin your face!

This song is a humorous look at what Hannibal Lecter may think if he got hold of Buffalo Bill's body. He has skinned a man's face before so he knows what he is doing. Bill skinned women so it is a revenge act to help Clarice.
In the first verse "Your hairy scary face" describes how ugly Bill was in society, "For you were a yeti" means that he was a monstrous person and that no one knew his identity. "Your nickname is Betty" is a reference to his transvestite ideas.
"You had the bad, idiotic traits, with dates." Refers to the fact that Bill could not get a partner.

As Bill is now dead, his body will give off gas. "And now to find my mask." This is a main indication to Hannibal and the mask he had to wear while in the asylum. The last three lines go into the present time when Hannibal is just about to skin the face off of the body.

I hope my explanation makes the parody make more sense, but if you still don't grasp the gist of it then tell me in the reviews and I will try to get back to you.