grammaticality - How can I use apostrophes for this possession phrase

For example, the phrase "The birds bodys color" as if to refer to the color of the bird's body, so do I write "The bird's body's color", "The birds body's color", or "The bird's bodys color"? Please do not say to write "The bird's body color"- even though thats the most sensical answer this is a theoretical phrase for me and Im just trying to find out if I can put 2 apostrophe words next to each other.

To clear it up, the sentence I'm actually talking about is this:

"How Father bird’s body’s sound breaking between teeth".

Is this grammatically correct? (I know it sounds weird but this is for poetry and this is the only way for the rhyme scheme to work.