As I was literally searching in my cooking skill for 'turkey' (to find if I had learned the recipe on an alt), it came to my attention that Critter Bites also pop up. Since you don't need turkeys to make critter bites, I was a bit puzzled.

In the description of Critter Bites the 'turkey's do show up though, is this meant to pop up with a search in the trade skill?

Tutti is correct. Happy Pilgirm’s Bounty to you all!