Preditor attack. What did this?

[Taffy]

Geez, you guys just can catch a break!

If you don't have a trail camera or other way to record a photo or video you could always spread a bag of flour on the ground around the body to show the footprints.

I've never heard of a coyote completely decapitating a goat but I guess it's possible.

I hope you can trap/kill whatever it is before it kills anymore of your goats.