Wow, what happened to that poor thing? Looks like it flew through a storm. Here's a pic of one off the internet. We have them here in MO too. I'd never seen one in NM.
In the Jemez Springs/ Fenton Lake area of New Mexico, there are/ were wild turkeys with splashes of white, descended from domestics that escaped from a local rancher in the area. I saw some in about 1981, I don't know if they're still up there and I don't remember hearing when the original white...